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Finding the Fourth Proportional to 387,418.89, 581,134.17 and 147,546.05

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Solution

The fourth proportional to 387,418.89, 581,134.17 and 147,546.05 is: 221,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,418.89 : 581,134.17 = 147,546.05 : x
  2. Step 2: Convert to fraction form
    387,418.89/581,134.17 = 147,546.05/x
  3. Step 3: Cross multiply
    387,418.89x = 581,134.17 × 147,546.05
  4. Step 4: Simplify right side
    387,418.89x = 85,744,053,125.23
  5. Step 5: Solve for x
    x = 85,744,053,125.23/387,418.89
  6. Step 6: Final answer
    x = 221,321.30

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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.