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Finding the Fourth Proportional to 231,304.32, 319,212 and 140,645.52

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Solution

The fourth proportional to 231,304.32, 319,212 and 140,645.52 is: 194,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,304.32 : 319,212 = 140,645.52 : x
  2. Step 2: Convert to fraction form
    231,304.32/319,212 = 140,645.52/x
  3. Step 3: Cross multiply
    231,304.32x = 319,212 × 140,645.52
  4. Step 4: Simplify right side
    231,304.32x = 44,895,737,730.24
  5. Step 5: Solve for x
    x = 44,895,737,730.24/231,304.32
  6. Step 6: Final answer
    x = 194,098.14

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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.