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Finding the Fourth Proportional to 220,716, 330,286.32 and 191,234.88

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Solution

The fourth proportional to 220,716, 330,286.32 and 191,234.88 is: 286,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,716 : 330,286.32 = 191,234.88 : x
  2. Step 2: Convert to fraction form
    220,716/330,286.32 = 191,234.88/x
  3. Step 3: Cross multiply
    220,716x = 330,286.32 × 191,234.88
  4. Step 4: Simplify right side
    220,716x = 63,162,264,770.84
  5. Step 5: Solve for x
    x = 63,162,264,770.84/220,716
  6. Step 6: Final answer
    x = 286,169.85

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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.