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Finding the Fourth Proportional to 408,198.20, 612,209.82 and 127,679

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Solution

The fourth proportional to 408,198.20, 612,209.82 and 127,679 is: 191,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,198.20 : 612,209.82 = 127,679 : x
  2. Step 2: Convert to fraction form
    408,198.20/612,209.82 = 127,679/x
  3. Step 3: Cross multiply
    408,198.20x = 612,209.82 × 127,679
  4. Step 4: Simplify right side
    408,198.20x = 78,166,337,607.78
  5. Step 5: Solve for x
    x = 78,166,337,607.78/408,198.20
  6. Step 6: Final answer
    x = 191,491.14

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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.