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Finding the Fourth Proportional to 311,517.26, 467,269.15 and 86,871.71

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Solution

The fourth proportional to 311,517.26, 467,269.15 and 86,871.71 is: 130,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,517.26 : 467,269.15 = 86,871.71 : x
  2. Step 2: Convert to fraction form
    311,517.26/467,269.15 = 86,871.71/x
  3. Step 3: Cross multiply
    311,517.26x = 467,269.15 × 86,871.71
  4. Step 4: Simplify right side
    311,517.26x = 40,592,470,090.75
  5. Step 5: Solve for x
    x = 40,592,470,090.75/311,517.26
  6. Step 6: Final answer
    x = 130,305.69

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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.