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Finding the Fourth Proportional to 642,713.64, 886,951.30 and 356,240.04

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Solution

The fourth proportional to 642,713.64, 886,951.30 and 356,240.04 is: 491,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,713.64 : 886,951.30 = 356,240.04 : x
  2. Step 2: Convert to fraction form
    642,713.64/886,951.30 = 356,240.04/x
  3. Step 3: Cross multiply
    642,713.64x = 886,951.30 × 356,240.04
  4. Step 4: Simplify right side
    642,713.64x = 315,967,566,590.05
  5. Step 5: Solve for x
    x = 315,967,566,590.05/642,713.64
  6. Step 6: Final answer
    x = 491,614.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.