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Finding the Fourth Proportional to 506,996.24, 699,654.82 and 280,641.74

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Solution

The fourth proportional to 506,996.24, 699,654.82 and 280,641.74 is: 387,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,996.24 : 699,654.82 = 280,641.74 : x
  2. Step 2: Convert to fraction form
    506,996.24/699,654.82 = 280,641.74/x
  3. Step 3: Cross multiply
    506,996.24x = 699,654.82 × 280,641.74
  4. Step 4: Simplify right side
    506,996.24x = 196,352,341,182.70
  5. Step 5: Solve for x
    x = 196,352,341,182.70/506,996.24
  6. Step 6: Final answer
    x = 387,285.60

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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.