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Finding the Fourth Proportional to 431,863.32, 647,887.80 and 132,364.56

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Solution

The fourth proportional to 431,863.32, 647,887.80 and 132,364.56 is: 198,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,863.32 : 647,887.80 = 132,364.56 : x
  2. Step 2: Convert to fraction form
    431,863.32/647,887.80 = 132,364.56/x
  3. Step 3: Cross multiply
    431,863.32x = 647,887.80 × 132,364.56
  4. Step 4: Simplify right side
    431,863.32x = 85,757,383,576.37
  5. Step 5: Solve for x
    x = 85,757,383,576.37/431,863.32
  6. Step 6: Final answer
    x = 198,575.29

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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.