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Finding the Fourth Proportional to 408,115.60, 612,236.76 and 208,327.90

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Solution

The fourth proportional to 408,115.60, 612,236.76 and 208,327.90 is: 312,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,115.60 : 612,236.76 = 208,327.90 : x
  2. Step 2: Convert to fraction form
    408,115.60/612,236.76 = 208,327.90/x
  3. Step 3: Cross multiply
    408,115.60x = 612,236.76 × 208,327.90
  4. Step 4: Simplify right side
    408,115.60x = 127,545,998,513.60
  5. Step 5: Solve for x
    x = 127,545,998,513.60/408,115.60
  6. Step 6: Final answer
    x = 312,524.19

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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.