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Finding the Fourth Proportional to 311,231.84, 466,147.56 and 218,153.12

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Solution

The fourth proportional to 311,231.84, 466,147.56 and 218,153.12 is: 326,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.84 : 466,147.56 = 218,153.12 : x
  2. Step 2: Convert to fraction form
    311,231.84/466,147.56 = 218,153.12/x
  3. Step 3: Cross multiply
    311,231.84x = 466,147.56 × 218,153.12
  4. Step 4: Simplify right side
    311,231.84x = 101,691,544,594.39
  5. Step 5: Solve for x
    x = 101,691,544,594.39/311,231.84
  6. Step 6: Final answer
    x = 326,738.89

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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.