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Finding the Fourth Proportional to 506,839.78, 699,438.90 and 280,499.86

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Solution

The fourth proportional to 506,839.78, 699,438.90 and 280,499.86 is: 387,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,839.78 : 699,438.90 = 280,499.86 : x
  2. Step 2: Convert to fraction form
    506,839.78/699,438.90 = 280,499.86/x
  3. Step 3: Cross multiply
    506,839.78x = 699,438.90 × 280,499.86
  4. Step 4: Simplify right side
    506,839.78x = 196,192,513,876.92
  5. Step 5: Solve for x
    x = 196,192,513,876.92/506,839.78
  6. Step 6: Final answer
    x = 387,089.81

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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.