for the sake of

is the larger goal pursued through the smaller goals (the towards which) by means of the use of equipment.

Dasein, in Heidegger talk, is using equipment in order to pursue some goal which he calls "towards which", for the sake of some ultimate let's say life plan, which he calls a "for the sake of". Now, it's important not to speak about goals and life plans. His funny language is necessary because a goal is what you have in your mind or a life plan. Whereas, he just says Dasein is always oriented toward the future, doing something now in order to get to do something later, and that all of this makes sense as oriented toward something which is what that person is up to.

for the sake of, n.All

for the sake of