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Finding the Fourth Proportional to 498,591.88, 687,980.85 and 280,789.09

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Solution

The fourth proportional to 498,591.88, 687,980.85 and 280,789.09 is: 387,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,591.88 : 687,980.85 = 280,789.09 : x
  2. Step 2: Convert to fraction form
    498,591.88/687,980.85 = 280,789.09/x
  3. Step 3: Cross multiply
    498,591.88x = 687,980.85 × 280,789.09
  4. Step 4: Simplify right side
    498,591.88x = 193,177,516,808.93
  5. Step 5: Solve for x
    x = 193,177,516,808.93/498,591.88
  6. Step 6: Final answer
    x = 387,446.18

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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.