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Finding the Fourth Proportional to 391,764.60, 587,471.94 and 111,216.24

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Solution

The fourth proportional to 391,764.60, 587,471.94 and 111,216.24 is: 166,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,764.60 : 587,471.94 = 111,216.24 : x
  2. Step 2: Convert to fraction form
    391,764.60/587,471.94 = 111,216.24/x
  3. Step 3: Cross multiply
    391,764.60x = 587,471.94 × 111,216.24
  4. Step 4: Simplify right side
    391,764.60x = 65,336,420,272.31
  5. Step 5: Solve for x
    x = 65,336,420,272.31/391,764.60
  6. Step 6: Final answer
    x = 166,774.69

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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.