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Finding the Fourth Proportional to 408,280.85, 612,381.70 and 123,973.90

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Solution

The fourth proportional to 408,280.85, 612,381.70 and 123,973.90 is: 185,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,280.85 : 612,381.70 = 123,973.90 : x
  2. Step 2: Convert to fraction form
    408,280.85/612,381.70 = 123,973.90/x
  3. Step 3: Cross multiply
    408,280.85x = 612,381.70 × 123,973.90
  4. Step 4: Simplify right side
    408,280.85x = 75,919,345,697.68
  5. Step 5: Solve for x
    x = 75,919,345,697.68/408,280.85
  6. Step 6: Final answer
    x = 185,948.83

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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.