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Finding the Fourth Proportional to 487,282.85, 727,355.22 and 429,759.28

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Solution

The fourth proportional to 487,282.85, 727,355.22 and 429,759.28 is: 641,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,282.85 : 727,355.22 = 429,759.28 : x
  2. Step 2: Convert to fraction form
    487,282.85/727,355.22 = 429,759.28/x
  3. Step 3: Cross multiply
    487,282.85x = 727,355.22 × 429,759.28
  4. Step 4: Simplify right side
    487,282.85x = 312,587,657,635.03
  5. Step 5: Solve for x
    x = 312,587,657,635.03/487,282.85
  6. Step 6: Final answer
    x = 641,491.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.