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Finding the Fourth Proportional to 506,788.34, 699,374.13 and 280,454.90

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Solution

The fourth proportional to 506,788.34, 699,374.13 and 280,454.90 is: 387,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,788.34 : 699,374.13 = 280,454.90 : x
  2. Step 2: Convert to fraction form
    506,788.34/699,374.13 = 280,454.90/x
  3. Step 3: Cross multiply
    506,788.34x = 699,374.13 × 280,454.90
  4. Step 4: Simplify right side
    506,788.34x = 196,142,901,691.74
  5. Step 5: Solve for x
    x = 196,142,901,691.74/506,788.34
  6. Step 6: Final answer
    x = 387,031.20

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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.