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Finding the Fourth Proportional to 331,830.54, 497,747.79 and 82,512.54

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Solution

The fourth proportional to 331,830.54, 497,747.79 and 82,512.54 is: 123,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830.54 : 497,747.79 = 82,512.54 : x
  2. Step 2: Convert to fraction form
    331,830.54/497,747.79 = 82,512.54/x
  3. Step 3: Cross multiply
    331,830.54x = 497,747.79 × 82,512.54
  4. Step 4: Simplify right side
    331,830.54x = 41,070,434,432.29
  5. Step 5: Solve for x
    x = 41,070,434,432.29/331,830.54
  6. Step 6: Final answer
    x = 123,769.30

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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.