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Finding the Fourth Proportional to 408,105.90, 612,160.26 and 123,798.90

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Solution

The fourth proportional to 408,105.90, 612,160.26 and 123,798.90 is: 185,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,105.90 : 612,160.26 = 123,798.90 : x
  2. Step 2: Convert to fraction form
    408,105.90/612,160.26 = 123,798.90/x
  3. Step 3: Cross multiply
    408,105.90x = 612,160.26 × 123,798.90
  4. Step 4: Simplify right side
    408,105.90x = 75,784,766,811.71
  5. Step 5: Solve for x
    x = 75,784,766,811.71/408,105.90
  6. Step 6: Final answer
    x = 185,698.78

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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.