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Finding the Fourth Proportional to 218,958.30, 328,447.17 and 85,826.70

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Solution

The fourth proportional to 218,958.30, 328,447.17 and 85,826.70 is: 128,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,958.30 : 328,447.17 = 85,826.70 : x
  2. Step 2: Convert to fraction form
    218,958.30/328,447.17 = 85,826.70/x
  3. Step 3: Cross multiply
    218,958.30x = 328,447.17 × 85,826.70
  4. Step 4: Simplify right side
    218,958.30x = 28,189,536,725.44
  5. Step 5: Solve for x
    x = 28,189,536,725.44/218,958.30
  6. Step 6: Final answer
    x = 128,743.86

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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.