WASHINGTON — The Senate voted on Thursday to allow a further increase in the federal debt limit, permitting President Obama to borrow $1.2 trillion more to operate a government that spent about 55 percent more than it collected in revenue last year.

The 52-to-44 vote generally followed party lines, with Democrats supporting the increase in borrowing authority and Republicans opposed.

In the House last week, Republicans passed a “resolution of disapproval” to stop the increase in the debt limit. But the Senate refused on Thursday to take up that measure.

The upshot is that the debt limit will rise immediately to $16.4 trillion, from the current ceiling of $15.2 trillion.