Conversion formula

The conversion factor from feet to yards is 0.33333333333333, which means that 1 foot is equal to 0.33333333333333 yards:

1 ft = 0.33333333333333 yd

To convert 509.5 feet into yards we have to multiply 509.5 by the conversion factor in order to get the length amount from feet to yards. We can also form a simple proportion to calculate the result:

1 ft → 0.33333333333333 yd

509.5 ft → L_(yd)

Solve the above proportion to obtain the length L in yards:

L_(yd) = 509.5 ft × 0.33333333333333 yd

L_(yd) = 169.83333333333 yd

The final result is:

509.5 ft → 169.83333333333 yd

We conclude that 509.5 feet is equivalent to 169.83333333333 yards:

509.5 feet = 169.83333333333 yards

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 yard is equal to 0.0058881256133464 × 509.5 feet.

Another way is saying that 509.5 feet is equal to 1 ÷ 0.0058881256133464 yards.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point five feet is approximately one hundred sixty-nine point eight three three yards:

509.5 ft ≅ 169.833 yd

An alternative is also that one yard is approximately zero point zero zero six times five hundred nine point five feet.

Conversion table

feet to yards chart

For quick reference purposes, below is the conversion table you can use to convert from feet to yards