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Finding the Fourth Proportional to 431,601.60, 647,497.23 and 132,105.27

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Solution

The fourth proportional to 431,601.60, 647,497.23 and 132,105.27 is: 198,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,601.60 : 647,497.23 = 132,105.27 : x
  2. Step 2: Convert to fraction form
    431,601.60/647,497.23 = 132,105.27/x
  3. Step 3: Cross multiply
    431,601.60x = 647,497.23 × 132,105.27
  4. Step 4: Simplify right side
    431,601.60x = 85,537,796,393.40
  5. Step 5: Solve for x
    x = 85,537,796,393.40/431,601.60
  6. Step 6: Final answer
    x = 198,186.93

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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.