Does feeling satisfied equal happiness?

I think it's best to treat happiness and satisfaction as side effects of some larger whole, rather than something that one tries to make as goals of themselves.    If you do that, then this question becomes less of a direct concern... you're not trying to "parse happiness" into its component pieces to figure out how to get it, you're just happy because your life works.

What is that "larger whole" that spins off happiness and satisfaction?  That's a pretty big question in itself.   My view is that much of it has to do with having something to live for that has a greater value than all the stuff that your "ego" wants.  Since the ego wants a lot, that's a pretty tall order: but if you live for something on that scale, it is easier to make the choices that are authentic and meaningful, and that tends to produce happiness and satisfaction as side effects.

But if you make happiness and satisfaction the *goal*, it does not go nearly as well.
Satisfaction refers to quantity and happiness indicates a state of quality.
I am taking Mackenna's gold with maximum that I could take with me, feeling satisfied, but not happy, since I am leaving so much over there behind me.
I am giving one banana/chocolate to a kind who is happy, but not satisfied with 1 banana/chocolate.
You can be happy as the richest man among the poorest, but not satisfied  with your richness; you will feel unhappy being the poorest among the richest, though satisfied with your richness.
Especially in eating you can distinguish these two concepts. The time that you cannot eat anymore, still you see a new item, wherein you feel nausea, you feel unhappy.
So it is the attitude of the mind which is vacillating and hence happiness is never constant or permanent.
See in Sex! All who enjoy sex, they get a certificate: Good! Better next time!
Only you can determine whether the feeling of satisfaction makes you happy.  We each find our happiness and our joy within ourselves in response to the fulfilling of our personal needs.  If you feel happy and you feel satisfied, it doesn't matter whether they are the same emotion.

Some people are "satisficers", meaning that they do not pursue the absolute highest goal they can reach, but are satisfied with what they have achieved and move on.  They may or may not be happy, but they are generally satisfied.  On the other hand, "maximizers", the "grass is always greener on the other side of the fence" folks, are generally neither satisfied nor happy. 

It's all in your personal perspective.

Somehow there has gotten to be a popular but unspoken idea that processes are linear, that things are supposed to move towards an end state and then stop. As if answering a question is the end rather than a way-station toward further learning and experience.

Happiness does not depend on satiation. Feeling satisfied is just one part of a whole cycle of experience and not the end-all of life. The cycle goes round and round and that keeps life moving.

Our personal experiences as well as psychological studies offer the idea that people are happier when they want something and feel like they are well on the path toward it, rather than when they have it and feel "satisfied".

To me they are synonyms, and describe the general state of having your brain reinforcing successful behavior -- to put it in mechanistic, biological terms.

Some people may associate certain words with longer or shorter term happiness, for instance "feeling satisfied" may just mean just were hungry and now you've eaten something so you aren't hungry any more.  But you can use "happy" there as well.  You might also talk about things like being satisfied with your life, and use similar words. But ultimately they are just words, and both "satisfied" and "happy" refer to a fairly straightforward biological phenomenon that is key to the human (and other animal) motivation system.
Feeling GRATEFUL equals happiness. Feeling satisfied might bring happiness, but you can also be satisfied by negative things.
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There is no such thing as us traveling at half the speed of light, or any other speed.Speed is not a property of any given thing, not a property of us.Speed is a property of the relationship between two things. Speed always

What is the prognosis for stage 4 lung cancer?

Unfortunately the general prognosis is not good but there are individuals that still can do exceptionally well with treatment, and I've personally seen that happen in my practice. When someone asks about lung cancer, I assume the question is about