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Finding the Fourth Proportional to 431,427.92, 647,141.87 and 131,908.49

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Solution

The fourth proportional to 431,427.92, 647,141.87 and 131,908.49 is: 197,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,427.92 : 647,141.87 = 131,908.49 : x
  2. Step 2: Convert to fraction form
    431,427.92/647,141.87 = 131,908.49/x
  3. Step 3: Cross multiply
    431,427.92x = 647,141.87 × 131,908.49
  4. Step 4: Simplify right side
    431,427.92x = 85,363,510,048.49
  5. Step 5: Solve for x
    x = 85,363,510,048.49/431,427.92
  6. Step 6: Final answer
    x = 197,862.74

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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.