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Finding the Fourth Proportional to 231,691.92, 319,569.96 and 212,633.28

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Solution

The fourth proportional to 231,691.92, 319,569.96 and 212,633.28 is: 293,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,691.92 : 319,569.96 = 212,633.28 : x
  2. Step 2: Convert to fraction form
    231,691.92/319,569.96 = 212,633.28/x
  3. Step 3: Cross multiply
    231,691.92x = 319,569.96 × 212,633.28
  4. Step 4: Simplify right side
    231,691.92x = 67,951,208,784.27
  5. Step 5: Solve for x
    x = 67,951,208,784.27/231,691.92
  6. Step 6: Final answer
    x = 293,282.60

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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.