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Finding the Fourth Proportional to 311,396.64, 467,242.38 and 185,286.12

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Solution

The fourth proportional to 311,396.64, 467,242.38 and 185,286.12 is: 278,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,396.64 : 467,242.38 = 185,286.12 : x
  2. Step 2: Convert to fraction form
    311,396.64/467,242.38 = 185,286.12/x
  3. Step 3: Cross multiply
    311,396.64x = 467,242.38 × 185,286.12
  4. Step 4: Simplify right side
    311,396.64x = 86,573,527,689.77
  5. Step 5: Solve for x
    x = 86,573,527,689.77/311,396.64
  6. Step 6: Final answer
    x = 278,016.90

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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.