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Finding the Fourth Proportional to 431,364.30, 647,046.45 and 218,787.90

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Solution

The fourth proportional to 431,364.30, 647,046.45 and 218,787.90 is: 328,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364.30 : 647,046.45 = 218,787.90 : x
  2. Step 2: Convert to fraction form
    431,364.30/647,046.45 = 218,787.90/x
  3. Step 3: Cross multiply
    431,364.30x = 647,046.45 × 218,787.90
  4. Step 4: Simplify right side
    431,364.30x = 141,565,933,997.96
  5. Step 5: Solve for x
    x = 141,565,933,997.96/431,364.30
  6. Step 6: Final answer
    x = 328,181.85

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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.