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Finding the Fourth Proportional to 216,318, 324,680.52 and 109,778.44

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Solution

The fourth proportional to 216,318, 324,680.52 and 109,778.44 is: 164,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,318 : 324,680.52 = 109,778.44 : x
  2. Step 2: Convert to fraction form
    216,318/324,680.52 = 109,778.44/x
  3. Step 3: Cross multiply
    216,318x = 324,680.52 × 109,778.44
  4. Step 4: Simplify right side
    216,318x = 35,642,920,983.99
  5. Step 5: Solve for x
    x = 35,642,920,983.99/216,318
  6. Step 6: Final answer
    x = 164,770.94

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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.