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Finding the Fourth Proportional to 275,442.80, 412,375.80 and 169,548.80

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Solution

The fourth proportional to 275,442.80, 412,375.80 and 169,548.80 is: 253,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442.80 : 412,375.80 = 169,548.80 : x
  2. Step 2: Convert to fraction form
    275,442.80/412,375.80 = 169,548.80/x
  3. Step 3: Cross multiply
    275,442.80x = 412,375.80 × 169,548.80
  4. Step 4: Simplify right side
    275,442.80x = 69,917,822,039.04
  5. Step 5: Solve for x
    x = 69,917,822,039.04/275,442.80
  6. Step 6: Final answer
    x = 253,837.90

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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.