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Finding the Fourth Proportional to 400,419.92, 600,211.44 and 133,961.24

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Solution

The fourth proportional to 400,419.92, 600,211.44 and 133,961.24 is: 200,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,419.92 : 600,211.44 = 133,961.24 : x
  2. Step 2: Convert to fraction form
    400,419.92/600,211.44 = 133,961.24/x
  3. Step 3: Cross multiply
    400,419.92x = 600,211.44 × 133,961.24
  4. Step 4: Simplify right side
    400,419.92x = 80,405,068,764.59
  5. Step 5: Solve for x
    x = 80,405,068,764.59/400,419.92
  6. Step 6: Final answer
    x = 200,801.87

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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.