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Finding the Fourth Proportional to 272,442, 408,663 and 75,450

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Solution

The fourth proportional to 272,442, 408,663 and 75,450 is: 113,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,442 : 408,663 = 75,450 : x
  2. Step 2: Convert to fraction form
    272,442/408,663 = 75,450/x
  3. Step 3: Cross multiply
    272,442x = 408,663 × 75,450
  4. Step 4: Simplify right side
    272,442x = 30,833,623,350
  5. Step 5: Solve for x
    x = 30,833,623,350/272,442
  6. Step 6: Final answer
    x = 113,175

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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.