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Finding the Fourth Proportional to 275,234.20, 412,851.30 and 200,195.80

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Solution

The fourth proportional to 275,234.20, 412,851.30 and 200,195.80 is: 300,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,234.20 : 412,851.30 = 200,195.80 : x
  2. Step 2: Convert to fraction form
    275,234.20/412,851.30 = 200,195.80/x
  3. Step 3: Cross multiply
    275,234.20x = 412,851.30 × 200,195.80
  4. Step 4: Simplify right side
    275,234.20x = 82,651,096,284.54
  5. Step 5: Solve for x
    x = 82,651,096,284.54/275,234.20
  6. Step 6: Final answer
    x = 300,293.70

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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.