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Finding the Fourth Proportional to 402,221.68, 603,232.76 and 135,976.40

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Solution

The fourth proportional to 402,221.68, 603,232.76 and 135,976.40 is: 203,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,221.68 : 603,232.76 = 135,976.40 : x
  2. Step 2: Convert to fraction form
    402,221.68/603,232.76 = 135,976.40/x
  3. Step 3: Cross multiply
    402,221.68x = 603,232.76 × 135,976.40
  4. Step 4: Simplify right side
    402,221.68x = 82,025,419,066.86
  5. Step 5: Solve for x
    x = 82,025,419,066.86/402,221.68
  6. Step 6: Final answer
    x = 203,930.87

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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.