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Finding the Fourth Proportional to 408,320.88, 612,481.32 and 127,860

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Solution

The fourth proportional to 408,320.88, 612,481.32 and 127,860 is: 191,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,320.88 : 612,481.32 = 127,860 : x
  2. Step 2: Convert to fraction form
    408,320.88/612,481.32 = 127,860/x
  3. Step 3: Cross multiply
    408,320.88x = 612,481.32 × 127,860
  4. Step 4: Simplify right side
    408,320.88x = 78,311,861,575.20
  5. Step 5: Solve for x
    x = 78,311,861,575.20/408,320.88
  6. Step 6: Final answer
    x = 191,790

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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.