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Finding the Fourth Proportional to 408,282.68, 612,414.18 and 287,842.16

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Solution

The fourth proportional to 408,282.68, 612,414.18 and 287,842.16 is: 431,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,282.68 : 612,414.18 = 287,842.16 : x
  2. Step 2: Convert to fraction form
    408,282.68/612,414.18 = 287,842.16/x
  3. Step 3: Cross multiply
    408,282.68x = 612,414.18 × 287,842.16
  4. Step 4: Simplify right side
    408,282.68x = 176,278,620,385.83
  5. Step 5: Solve for x
    x = 176,278,620,385.83/408,282.68
  6. Step 6: Final answer
    x = 431,756.30

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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.