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Finding the Fourth Proportional to 506,996.12, 699,654.65 and 280,641.62

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Solution

The fourth proportional to 506,996.12, 699,654.65 and 280,641.62 is: 387,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,996.12 : 699,654.65 = 280,641.62 : x
  2. Step 2: Convert to fraction form
    506,996.12/699,654.65 = 280,641.62/x
  3. Step 3: Cross multiply
    506,996.12x = 699,654.65 × 280,641.62
  4. Step 4: Simplify right side
    506,996.12x = 196,352,209,515.05
  5. Step 5: Solve for x
    x = 196,352,209,515.05/506,996.12
  6. Step 6: Final answer
    x = 387,285.43

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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.