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Finding the Fourth Proportional to 311,093.85, 466,649.69 and 86,470.73

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Solution

The fourth proportional to 311,093.85, 466,649.69 and 86,470.73 is: 129,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,093.85 : 466,649.69 = 86,470.73 : x
  2. Step 2: Convert to fraction form
    311,093.85/466,649.69 = 86,470.73/x
  3. Step 3: Cross multiply
    311,093.85x = 466,649.69 × 86,470.73
  4. Step 4: Simplify right side
    311,093.85x = 40,351,539,348.57
  5. Step 5: Solve for x
    x = 40,351,539,348.57/311,093.85
  6. Step 6: Final answer
    x = 129,708.57

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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.