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Finding the Fourth Proportional to 394,468.20, 591,702.30 and 327,983.40

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Solution

The fourth proportional to 394,468.20, 591,702.30 and 327,983.40 is: 491,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,468.20 : 591,702.30 = 327,983.40 : x
  2. Step 2: Convert to fraction form
    394,468.20/591,702.30 = 327,983.40/x
  3. Step 3: Cross multiply
    394,468.20x = 591,702.30 × 327,983.40
  4. Step 4: Simplify right side
    394,468.20x = 194,068,532,141.82
  5. Step 5: Solve for x
    x = 194,068,532,141.82/394,468.20
  6. Step 6: Final answer
    x = 491,975.10

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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.