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Finding the Fourth Proportional to 408,159.60, 612,279.72 and 127,682.16

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Solution

The fourth proportional to 408,159.60, 612,279.72 and 127,682.16 is: 191,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,159.60 : 612,279.72 = 127,682.16 : x
  2. Step 2: Convert to fraction form
    408,159.60/612,279.72 = 127,682.16/x
  3. Step 3: Cross multiply
    408,159.60x = 612,279.72 × 127,682.16
  4. Step 4: Simplify right side
    408,159.60x = 78,177,197,173.80
  5. Step 5: Solve for x
    x = 78,177,197,173.80/408,159.60
  6. Step 6: Final answer
    x = 191,535.85

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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.