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Finding the Fourth Proportional to 680,315,449.83, 938,334,085.02 and 513,058,759.71

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Solution

The fourth proportional to 680,315,449.83, 938,334,085.02 and 513,058,759.71 is: 707,643,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,315,449.83 : 938,334,085.02 = 513,058,759.71 : x
  2. Step 2: Convert to fraction form
    680,315,449.83/938,334,085.02 = 513,058,759.71/x
  3. Step 3: Cross multiply
    680,315,449.83x = 938,334,085.02 × 513,058,759.71
  4. Step 4: Simplify right side
    680,315,449.83x = 481,420,521,853,978,880
  5. Step 5: Solve for x
    x = 481,420,521,853,978,880/680,315,449.83
  6. Step 6: Final answer
    x = 707,643,082.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.