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Finding the Fourth Proportional to 278,700.52, 417,757.92 and 136,349.20

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Solution

The fourth proportional to 278,700.52, 417,757.92 and 136,349.20 is: 204,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,700.52 : 417,757.92 = 136,349.20 : x
  2. Step 2: Convert to fraction form
    278,700.52/417,757.92 = 136,349.20/x
  3. Step 3: Cross multiply
    278,700.52x = 417,757.92 × 136,349.20
  4. Step 4: Simplify right side
    278,700.52x = 56,960,958,185.66
  5. Step 5: Solve for x
    x = 56,960,958,185.66/278,700.52
  6. Step 6: Final answer
    x = 204,380.52

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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.