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Finding the Fourth Proportional to 408,740.91, 612,932.61 and 206,212.40

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Solution

The fourth proportional to 408,740.91, 612,932.61 and 206,212.40 is: 309,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,740.91 : 612,932.61 = 206,212.40 : x
  2. Step 2: Convert to fraction form
    408,740.91/612,932.61 = 206,212.40/x
  3. Step 3: Cross multiply
    408,740.91x = 612,932.61 × 206,212.40
  4. Step 4: Simplify right side
    408,740.91x = 126,394,304,553.50
  5. Step 5: Solve for x
    x = 126,394,304,553.50/408,740.91
  6. Step 6: Final answer
    x = 309,228.42

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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.