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Finding the Fourth Proportional to 312,712.52, 431,544.82 and 169,472.57

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Solution

The fourth proportional to 312,712.52, 431,544.82 and 169,472.57 is: 233,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712.52 : 431,544.82 = 169,472.57 : x
  2. Step 2: Convert to fraction form
    312,712.52/431,544.82 = 169,472.57/x
  3. Step 3: Cross multiply
    312,712.52x = 431,544.82 × 169,472.57
  4. Step 4: Simplify right side
    312,712.52x = 73,135,008,177.96
  5. Step 5: Solve for x
    x = 73,135,008,177.96/312,712.52
  6. Step 6: Final answer
    x = 233,872.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.