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Finding the Fourth Proportional to 275,591.16, 413,198.64 and 140,322.78

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Solution

The fourth proportional to 275,591.16, 413,198.64 and 140,322.78 is: 210,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,591.16 : 413,198.64 = 140,322.78 : x
  2. Step 2: Convert to fraction form
    275,591.16/413,198.64 = 140,322.78/x
  3. Step 3: Cross multiply
    275,591.16x = 413,198.64 × 140,322.78
  4. Step 4: Simplify right side
    275,591.16x = 57,981,181,857.02
  5. Step 5: Solve for x
    x = 57,981,181,857.02/275,591.16
  6. Step 6: Final answer
    x = 210,388.40

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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.