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Finding the Fourth Proportional to 321,512.64, 482,103.72 and 188,654.82

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Solution

The fourth proportional to 321,512.64, 482,103.72 and 188,654.82 is: 282,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,512.64 : 482,103.72 = 188,654.82 : x
  2. Step 2: Convert to fraction form
    321,512.64/482,103.72 = 188,654.82/x
  3. Step 3: Cross multiply
    321,512.64x = 482,103.72 × 188,654.82
  4. Step 4: Simplify right side
    321,512.64x = 90,951,190,517.93
  5. Step 5: Solve for x
    x = 90,951,190,517.93/321,512.64
  6. Step 6: Final answer
    x = 282,885.27

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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.