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Finding the Fourth Proportional to 408,947.13, 613,325.32 and 156,134.79

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Solution

The fourth proportional to 408,947.13, 613,325.32 and 156,134.79 is: 234,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,947.13 : 613,325.32 = 156,134.79 : x
  2. Step 2: Convert to fraction form
    408,947.13/613,325.32 = 156,134.79/x
  3. Step 3: Cross multiply
    408,947.13x = 613,325.32 × 156,134.79
  4. Step 4: Simplify right side
    408,947.13x = 95,761,419,649.55
  5. Step 5: Solve for x
    x = 95,761,419,649.55/408,947.13
  6. Step 6: Final answer
    x = 234,165.77

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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.