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Finding the Fourth Proportional to 526,498.80, 726,565.52 and 284,781.12

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Solution

The fourth proportional to 526,498.80, 726,565.52 and 284,781.12 is: 392,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,498.80 : 726,565.52 = 284,781.12 : x
  2. Step 2: Convert to fraction form
    526,498.80/726,565.52 = 284,781.12/x
  3. Step 3: Cross multiply
    526,498.80x = 726,565.52 × 284,781.12
  4. Step 4: Simplify right side
    526,498.80x = 206,912,142,538.98
  5. Step 5: Solve for x
    x = 206,912,142,538.98/526,498.80
  6. Step 6: Final answer
    x = 392,996.42

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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.