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Finding the Fourth Proportional to 437,593.85, 656,390.87 and 138,097.77

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Solution

The fourth proportional to 437,593.85, 656,390.87 and 138,097.77 is: 207,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,593.85 : 656,390.87 = 138,097.77 : x
  2. Step 2: Convert to fraction form
    437,593.85/656,390.87 = 138,097.77/x
  3. Step 3: Cross multiply
    437,593.85x = 656,390.87 × 138,097.77
  4. Step 4: Simplify right side
    437,593.85x = 90,646,115,395.36
  5. Step 5: Solve for x
    x = 90,646,115,395.36/437,593.85
  6. Step 6: Final answer
    x = 207,146.68

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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.