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Finding the Fourth Proportional to 274,900.16, 412,414.78 and 85,350.90

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Solution

The fourth proportional to 274,900.16, 412,414.78 and 85,350.90 is: 128,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,900.16 : 412,414.78 = 85,350.90 : x
  2. Step 2: Convert to fraction form
    274,900.16/412,414.78 = 85,350.90/x
  3. Step 3: Cross multiply
    274,900.16x = 412,414.78 × 85,350.90
  4. Step 4: Simplify right side
    274,900.16x = 35,199,972,646.30
  5. Step 5: Solve for x
    x = 35,199,972,646.30/274,900.16
  6. Step 6: Final answer
    x = 128,046.39

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1.5x scale

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.