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Finding the Fourth Proportional to 311,027.10, 466,540.65 and 100,815.90

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Solution

The fourth proportional to 311,027.10, 466,540.65 and 100,815.90 is: 151,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,027.10 : 466,540.65 = 100,815.90 : x
  2. Step 2: Convert to fraction form
    311,027.10/466,540.65 = 100,815.90/x
  3. Step 3: Cross multiply
    311,027.10x = 466,540.65 × 100,815.90
  4. Step 4: Simplify right side
    311,027.10x = 47,034,715,516.34
  5. Step 5: Solve for x
    x = 47,034,715,516.34/311,027.10
  6. Step 6: Final answer
    x = 151,223.85

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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.