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Finding the Fourth Proportional to 408,462.12, 563,634.54 and 227,144.88

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Solution

The fourth proportional to 408,462.12, 563,634.54 and 227,144.88 is: 313,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,462.12 : 563,634.54 = 227,144.88 : x
  2. Step 2: Convert to fraction form
    408,462.12/563,634.54 = 227,144.88/x
  3. Step 3: Cross multiply
    408,462.12x = 563,634.54 × 227,144.88
  4. Step 4: Simplify right side
    408,462.12x = 128,026,699,952.16
  5. Step 5: Solve for x
    x = 128,026,699,952.16/408,462.12
  6. Step 6: Final answer
    x = 313,435.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.