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Finding the Fourth Proportional to 431,387.06, 647,082.19 and 131,866.48

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Solution

The fourth proportional to 431,387.06, 647,082.19 and 131,866.48 is: 197,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,387.06 : 647,082.19 = 131,866.48 : x
  2. Step 2: Convert to fraction form
    431,387.06/647,082.19 = 131,866.48/x
  3. Step 3: Cross multiply
    431,387.06x = 647,082.19 × 131,866.48
  4. Step 4: Simplify right side
    431,387.06x = 85,328,450,665.99
  5. Step 5: Solve for x
    x = 85,328,450,665.99/431,387.06
  6. Step 6: Final answer
    x = 197,800.21

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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.