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Finding the Fourth Proportional to 311,040.32, 428,843.28 and 203,439.92

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Solution

The fourth proportional to 311,040.32, 428,843.28 and 203,439.92 is: 280,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,040.32 : 428,843.28 = 203,439.92 : x
  2. Step 2: Convert to fraction form
    311,040.32/428,843.28 = 203,439.92/x
  3. Step 3: Cross multiply
    311,040.32x = 428,843.28 × 203,439.92
  4. Step 4: Simplify right side
    311,040.32x = 87,243,842,575.74
  5. Step 5: Solve for x
    x = 87,243,842,575.74/311,040.32
  6. Step 6: Final answer
    x = 280,490.46

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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.