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Finding the Fourth Proportional to 408,882.60, 613,105.20 and 142,651.80

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Solution

The fourth proportional to 408,882.60, 613,105.20 and 142,651.80 is: 213,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.60 : 613,105.20 = 142,651.80 : x
  2. Step 2: Convert to fraction form
    408,882.60/613,105.20 = 142,651.80/x
  3. Step 3: Cross multiply
    408,882.60x = 613,105.20 × 142,651.80
  4. Step 4: Simplify right side
    408,882.60x = 87,460,560,369.36
  5. Step 5: Solve for x
    x = 87,460,560,369.36/408,882.60
  6. Step 6: Final answer
    x = 213,901.40

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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.