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Finding the Fourth Proportional to 275,213.80, 412,431.90 and 169,719.40

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Solution

The fourth proportional to 275,213.80, 412,431.90 and 169,719.40 is: 254,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,213.80 : 412,431.90 = 169,719.40 : x
  2. Step 2: Convert to fraction form
    275,213.80/412,431.90 = 169,719.40/x
  3. Step 3: Cross multiply
    275,213.80x = 412,431.90 × 169,719.40
  4. Step 4: Simplify right side
    275,213.80x = 69,997,694,608.86
  5. Step 5: Solve for x
    x = 69,997,694,608.86/275,213.80
  6. Step 6: Final answer
    x = 254,339.33

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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.