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Finding the Fourth Proportional to 408,069.96, 612,208.62 and 239,732.61

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Solution

The fourth proportional to 408,069.96, 612,208.62 and 239,732.61 is: 359,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,069.96 : 612,208.62 = 239,732.61 : x
  2. Step 2: Convert to fraction form
    408,069.96/612,208.62 = 239,732.61/x
  3. Step 3: Cross multiply
    408,069.96x = 612,208.62 × 239,732.61
  4. Step 4: Simplify right side
    408,069.96x = 146,766,370,337.10
  5. Step 5: Solve for x
    x = 146,766,370,337.10/408,069.96
  6. Step 6: Final answer
    x = 359,659.82

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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.