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Finding the Fourth Proportional to 331,010.76, 496,298.52 and 218,347.32

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Solution

The fourth proportional to 331,010.76, 496,298.52 and 218,347.32 is: 327,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,010.76 : 496,298.52 = 218,347.32 : x
  2. Step 2: Convert to fraction form
    331,010.76/496,298.52 = 218,347.32/x
  3. Step 3: Cross multiply
    331,010.76x = 496,298.52 × 218,347.32
  4. Step 4: Simplify right side
    331,010.76x = 108,365,451,761.97
  5. Step 5: Solve for x
    x = 108,365,451,761.97/331,010.76
  6. Step 6: Final answer
    x = 327,377.43

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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.