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Finding the Fourth Proportional to 491,524.54, 678,414.50 and 321,660.25

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Solution

The fourth proportional to 491,524.54, 678,414.50 and 321,660.25 is: 443,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,524.54 : 678,414.50 = 321,660.25 : x
  2. Step 2: Convert to fraction form
    491,524.54/678,414.50 = 321,660.25/x
  3. Step 3: Cross multiply
    491,524.54x = 678,414.50 × 321,660.25
  4. Step 4: Simplify right side
    491,524.54x = 218,218,977,673.63
  5. Step 5: Solve for x
    x = 218,218,977,673.63/491,524.54
  6. Step 6: Final answer
    x = 443,963.55

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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.