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Finding the Fourth Proportional to 437,628.96, 656,443.44 and 138,132.90

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Solution

The fourth proportional to 437,628.96, 656,443.44 and 138,132.90 is: 207,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,628.96 : 656,443.44 = 138,132.90 : x
  2. Step 2: Convert to fraction form
    437,628.96/656,443.44 = 138,132.90/x
  3. Step 3: Cross multiply
    437,628.96x = 656,443.44 × 138,132.90
  4. Step 4: Simplify right side
    437,628.96x = 90,676,436,053.18
  5. Step 5: Solve for x
    x = 90,676,436,053.18/437,628.96
  6. Step 6: Final answer
    x = 207,199.35

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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.