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Finding the Fourth Proportional to 321,865.96, 444,228.42 and 187,729.96

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Solution

The fourth proportional to 321,865.96, 444,228.42 and 187,729.96 is: 259,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,865.96 : 444,228.42 = 187,729.96 : x
  2. Step 2: Convert to fraction form
    321,865.96/444,228.42 = 187,729.96/x
  3. Step 3: Cross multiply
    321,865.96x = 444,228.42 × 187,729.96
  4. Step 4: Simplify right side
    321,865.96x = 83,394,983,517.46
  5. Step 5: Solve for x
    x = 83,394,983,517.46/321,865.96
  6. Step 6: Final answer
    x = 259,098.49

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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.