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Finding the Fourth Proportional to 437,599.10, 656,398.77 and 138,103.12

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Solution

The fourth proportional to 437,599.10, 656,398.77 and 138,103.12 is: 207,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,599.10 : 656,398.77 = 138,103.12 : x
  2. Step 2: Convert to fraction form
    437,599.10/656,398.77 = 138,103.12/x
  3. Step 3: Cross multiply
    437,599.10x = 656,398.77 × 138,103.12
  4. Step 4: Simplify right side
    437,599.10x = 90,650,718,921.66
  5. Step 5: Solve for x
    x = 90,650,718,921.66/437,599.10
  6. Step 6: Final answer
    x = 207,154.72

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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.