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Finding the Fourth Proportional to 331,451.91, 457,388.88 and 193,643.61

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Solution

The fourth proportional to 331,451.91, 457,388.88 and 193,643.61 is: 267,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,451.91 : 457,388.88 = 193,643.61 : x
  2. Step 2: Convert to fraction form
    331,451.91/457,388.88 = 193,643.61/x
  3. Step 3: Cross multiply
    331,451.91x = 457,388.88 × 193,643.61
  4. Step 4: Simplify right side
    331,451.91x = 88,570,431,134.09
  5. Step 5: Solve for x
    x = 88,570,431,134.09/331,451.91
  6. Step 6: Final answer
    x = 267,219.56

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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.