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Finding the Fourth Proportional to 408,286.24, 612,389.76 and 123,979.26

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Solution

The fourth proportional to 408,286.24, 612,389.76 and 123,979.26 is: 185,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,286.24 : 612,389.76 = 123,979.26 : x
  2. Step 2: Convert to fraction form
    408,286.24/612,389.76 = 123,979.26/x
  3. Step 3: Cross multiply
    408,286.24x = 612,389.76 × 123,979.26
  4. Step 4: Simplify right side
    408,286.24x = 75,923,626,214.43
  5. Step 5: Solve for x
    x = 75,923,626,214.43/408,286.24
  6. Step 6: Final answer
    x = 185,956.86

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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.