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Finding the Fourth Proportional to 407,624.85, 611,197.92 and 123,229.80

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Solution

The fourth proportional to 407,624.85, 611,197.92 and 123,229.80 is: 184,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,624.85 : 611,197.92 = 123,229.80 : x
  2. Step 2: Convert to fraction form
    407,624.85/611,197.92 = 123,229.80/x
  3. Step 3: Cross multiply
    407,624.85x = 611,197.92 × 123,229.80
  4. Step 4: Simplify right side
    407,624.85x = 75,317,797,442.02
  5. Step 5: Solve for x
    x = 75,317,797,442.02/407,624.85
  6. Step 6: Final answer
    x = 184,772.34

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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.