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Finding the Fourth Proportional to 408,397.68, 612,662.00 and 142,233.84

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Solution

The fourth proportional to 408,397.68, 612,662.00 and 142,233.84 is: 213,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,397.68 : 612,662.00 = 142,233.84 : x
  2. Step 2: Convert to fraction form
    408,397.68/612,662.00 = 142,233.84/x
  3. Step 3: Cross multiply
    408,397.68x = 612,662.00 × 142,233.84
  4. Step 4: Simplify right side
    408,397.68x = 87,141,268,170.91
  5. Step 5: Solve for x
    x = 87,141,268,170.91/408,397.68
  6. Step 6: Final answer
    x = 213,373.56

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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.