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Finding the Fourth Proportional to 272,512, 408,791.04 and 75,520

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Solution

The fourth proportional to 272,512, 408,791.04 and 75,520 is: 113,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,512 : 408,791.04 = 75,520 : x
  2. Step 2: Convert to fraction form
    272,512/408,791.04 = 75,520/x
  3. Step 3: Cross multiply
    272,512x = 408,791.04 × 75,520
  4. Step 4: Simplify right side
    272,512x = 30,871,899,340.80
  5. Step 5: Solve for x
    x = 30,871,899,340.80/272,512
  6. Step 6: Final answer
    x = 113,286.38

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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.