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Finding the Fourth Proportional to 458,542.72, 687,836.16 and 192,311.92

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Solution

The fourth proportional to 458,542.72, 687,836.16 and 192,311.92 is: 288,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,542.72 : 687,836.16 = 192,311.92 : x
  2. Step 2: Convert to fraction form
    458,542.72/687,836.16 = 192,311.92/x
  3. Step 3: Cross multiply
    458,542.72x = 687,836.16 × 192,311.92
  4. Step 4: Simplify right side
    458,542.72x = 132,279,092,575.03
  5. Step 5: Solve for x
    x = 132,279,092,575.03/458,542.72
  6. Step 6: Final answer
    x = 288,477.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.