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Finding the Fourth Proportional to 312,761.62, 431,611.80 and 169,521.52

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Solution

The fourth proportional to 312,761.62, 431,611.80 and 169,521.52 is: 233,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,761.62 : 431,611.80 = 169,521.52 : x
  2. Step 2: Convert to fraction form
    312,761.62/431,611.80 = 169,521.52/x
  3. Step 3: Cross multiply
    312,761.62x = 431,611.80 × 169,521.52
  4. Step 4: Simplify right side
    312,761.62x = 73,167,488,385.94
  5. Step 5: Solve for x
    x = 73,167,488,385.94/312,761.62
  6. Step 6: Final answer
    x = 233,940.11

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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.