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Finding the Fourth Proportional to 413,788.53, 620,604.92 and 129,436.48

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Solution

The fourth proportional to 413,788.53, 620,604.92 and 129,436.48 is: 194,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,788.53 : 620,604.92 = 129,436.48 : x
  2. Step 2: Convert to fraction form
    413,788.53/620,604.92 = 129,436.48/x
  3. Step 3: Cross multiply
    413,788.53x = 620,604.92 × 129,436.48
  4. Step 4: Simplify right side
    413,788.53x = 80,328,917,414.83
  5. Step 5: Solve for x
    x = 80,328,917,414.83/413,788.53
  6. Step 6: Final answer
    x = 194,130.36

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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.