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Finding the Fourth Proportional to 299,715.75, 449,563.28 and 75,078.14

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Solution

The fourth proportional to 299,715.75, 449,563.28 and 75,078.14 is: 112,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,715.75 : 449,563.28 = 75,078.14 : x
  2. Step 2: Convert to fraction form
    299,715.75/449,563.28 = 75,078.14/x
  3. Step 3: Cross multiply
    299,715.75x = 449,563.28 × 75,078.14
  4. Step 4: Simplify right side
    299,715.75x = 33,752,372,251.49
  5. Step 5: Solve for x
    x = 33,752,372,251.49/299,715.75
  6. Step 6: Final answer
    x = 112,614.61

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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.