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Finding the Fourth Proportional to 321,882.31, 444,176.89 and 178,642.45

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Solution

The fourth proportional to 321,882.31, 444,176.89 and 178,642.45 is: 246,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,882.31 : 444,176.89 = 178,642.45 : x
  2. Step 2: Convert to fraction form
    321,882.31/444,176.89 = 178,642.45/x
  3. Step 3: Cross multiply
    321,882.31x = 444,176.89 × 178,642.45
  4. Step 4: Simplify right side
    321,882.31x = 79,348,847,862.98
  5. Step 5: Solve for x
    x = 79,348,847,862.98/321,882.31
  6. Step 6: Final answer
    x = 246,515.09

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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.