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Finding the Fourth Proportional to 252,297.01, 378,305.92 and 100,340.20

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Solution

The fourth proportional to 252,297.01, 378,305.92 and 100,340.20 is: 150,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,297.01 : 378,305.92 = 100,340.20 : x
  2. Step 2: Convert to fraction form
    252,297.01/378,305.92 = 100,340.20/x
  3. Step 3: Cross multiply
    252,297.01x = 378,305.92 × 100,340.20
  4. Step 4: Simplify right side
    252,297.01x = 37,959,291,673.98
  5. Step 5: Solve for x
    x = 37,959,291,673.98/252,297.01
  6. Step 6: Final answer
    x = 150,454.78

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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.