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Finding the Fourth Proportional to 252,270.96, 378,267 and 100,314.12

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Solution

The fourth proportional to 252,270.96, 378,267 and 100,314.12 is: 150,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,270.96 : 378,267 = 100,314.12 : x
  2. Step 2: Convert to fraction form
    252,270.96/378,267 = 100,314.12/x
  3. Step 3: Cross multiply
    252,270.96x = 378,267 × 100,314.12
  4. Step 4: Simplify right side
    252,270.96x = 37,945,521,230.04
  5. Step 5: Solve for x
    x = 37,945,521,230.04/252,270.96
  6. Step 6: Final answer
    x = 150,415.73

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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.