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Finding the Fourth Proportional to 431,846.91, 647,747.01 and 132,328.38

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Solution

The fourth proportional to 431,846.91, 647,747.01 and 132,328.38 is: 198,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,846.91 : 647,747.01 = 132,328.38 : x
  2. Step 2: Convert to fraction form
    431,846.91/647,747.01 = 132,328.38/x
  3. Step 3: Cross multiply
    431,846.91x = 647,747.01 × 132,328.38
  4. Step 4: Simplify right side
    431,846.91x = 85,715,314,912.20
  5. Step 5: Solve for x
    x = 85,715,314,912.20/431,846.91
  6. Step 6: Final answer
    x = 198,485.42

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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.