Finding the Fourth Proportional to 490,792,088,986.84, 736,261,743,669.20 and 172,382,166,286.49
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Solution
The fourth proportional to 490,792,088,986.84, 736,261,743,669.20 and 172,382,166,286.49 is: 258,599,103,725.51
Step by Step Solution
- Step 1: Write the proportion equation
490,792,088,986.84 : 736,261,743,669.20 = 172,382,166,286.49 : x - Step 2: Convert to fraction form
490,792,088,986.84/736,261,743,669.20 = 172,382,166,286.49/x - Step 3: Cross multiply
490,792,088,986.84x = 736,261,743,669.20 × 172,382,166,286.49 - Step 4: Simplify right side
490,792,088,986.84x = 126,918,394,327,565,095,403,520 - Step 5: Solve for x
x = 126,918,394,327,565,095,403,520/490,792,088,986.84 - Step 6: Final answer
x = 258,599,103,725.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.