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Finding the Fourth Proportional to 408,070.21, 612,209 and 239,732.86

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Solution

The fourth proportional to 408,070.21, 612,209 and 239,732.86 is: 359,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070.21 : 612,209 = 239,732.86 : x
  2. Step 2: Convert to fraction form
    408,070.21/612,209 = 239,732.86/x
  3. Step 3: Cross multiply
    408,070.21x = 612,209 × 239,732.86
  4. Step 4: Simplify right side
    408,070.21x = 146,766,614,487.74
  5. Step 5: Solve for x
    x = 146,766,614,487.74/408,070.21
  6. Step 6: Final answer
    x = 359,660.20

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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.