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Finding the Fourth Proportional to 387,346.53, 581,053.28 and 106,863.78

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Solution

The fourth proportional to 387,346.53, 581,053.28 and 106,863.78 is: 160,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,346.53 : 581,053.28 = 106,863.78 : x
  2. Step 2: Convert to fraction form
    387,346.53/581,053.28 = 106,863.78/x
  3. Step 3: Cross multiply
    387,346.53x = 581,053.28 × 106,863.78
  4. Step 4: Simplify right side
    387,346.53x = 62,093,549,882.20
  5. Step 5: Solve for x
    x = 62,093,549,882.20/387,346.53
  6. Step 6: Final answer
    x = 160,304.91

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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.