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Finding the Fourth Proportional to 442,320.75, 663,481.13 and 109,896.75

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Solution

The fourth proportional to 442,320.75, 663,481.13 and 109,896.75 is: 164,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,320.75 : 663,481.13 = 109,896.75 : x
  2. Step 2: Convert to fraction form
    442,320.75/663,481.13 = 109,896.75/x
  3. Step 3: Cross multiply
    442,320.75x = 663,481.13 × 109,896.75
  4. Step 4: Simplify right side
    442,320.75x = 72,914,419,323.84
  5. Step 5: Solve for x
    x = 72,914,419,323.84/442,320.75
  6. Step 6: Final answer
    x = 164,845.13

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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.