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Finding the Fourth Proportional to 437,642.78, 656,464.17 and 138,333.56

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Solution

The fourth proportional to 437,642.78, 656,464.17 and 138,333.56 is: 207,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642.78 : 656,464.17 = 138,333.56 : x
  2. Step 2: Convert to fraction form
    437,642.78/656,464.17 = 138,333.56/x
  3. Step 3: Cross multiply
    437,642.78x = 656,464.17 × 138,333.56
  4. Step 4: Simplify right side
    437,642.78x = 90,811,024,956.88
  5. Step 5: Solve for x
    x = 90,811,024,956.88/437,642.78
  6. Step 6: Final answer
    x = 207,500.34

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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.