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Finding the Fourth Proportional to 321,318.62, 443,419.71 and 178,087.88

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Solution

The fourth proportional to 321,318.62, 443,419.71 and 178,087.88 is: 245,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,318.62 : 443,419.71 = 178,087.88 : x
  2. Step 2: Convert to fraction form
    321,318.62/443,419.71 = 178,087.88/x
  3. Step 3: Cross multiply
    321,318.62x = 443,419.71 × 178,087.88
  4. Step 4: Simplify right side
    321,318.62x = 78,967,673,887.02
  5. Step 5: Solve for x
    x = 78,967,673,887.02/321,318.62
  6. Step 6: Final answer
    x = 245,761.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.