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Finding the Fourth Proportional to 408,110.43, 612,164.82 and 108,591

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Solution

The fourth proportional to 408,110.43, 612,164.82 and 108,591 is: 162,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,110.43 : 612,164.82 = 108,591 : x
  2. Step 2: Convert to fraction form
    408,110.43/612,164.82 = 108,591/x
  3. Step 3: Cross multiply
    408,110.43x = 612,164.82 × 108,591
  4. Step 4: Simplify right side
    408,110.43x = 66,475,589,968.62
  5. Step 5: Solve for x
    x = 66,475,589,968.62/408,110.43
  6. Step 6: Final answer
    x = 162,886.28

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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.