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Finding the Fourth Proportional to 413,833.11, 620,414.83 and 129,377.31

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Solution

The fourth proportional to 413,833.11, 620,414.83 and 129,377.31 is: 193,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,833.11 : 620,414.83 = 129,377.31 : x
  2. Step 2: Convert to fraction form
    413,833.11/620,414.83 = 129,377.31/x
  3. Step 3: Cross multiply
    413,833.11x = 620,414.83 × 129,377.31
  4. Step 4: Simplify right side
    413,833.11x = 80,267,601,951.23
  5. Step 5: Solve for x
    x = 80,267,601,951.23/413,833.11
  6. Step 6: Final answer
    x = 193,961.29

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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.