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Finding the Fourth Proportional to 472,414.20, 708,621.30 and 431,079.90

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Solution

The fourth proportional to 472,414.20, 708,621.30 and 431,079.90 is: 646,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.20 : 708,621.30 = 431,079.90 : x
  2. Step 2: Convert to fraction form
    472,414.20/708,621.30 = 431,079.90/x
  3. Step 3: Cross multiply
    472,414.20x = 708,621.30 × 431,079.90
  4. Step 4: Simplify right side
    472,414.20x = 305,472,399,141.87
  5. Step 5: Solve for x
    x = 305,472,399,141.87/472,414.20
  6. Step 6: Final answer
    x = 646,619.85

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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.