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Finding the Fourth Proportional to 415,197.80, 622,796.70 and 321,885.80

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Solution

The fourth proportional to 415,197.80, 622,796.70 and 321,885.80 is: 482,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,197.80 : 622,796.70 = 321,885.80 : x
  2. Step 2: Convert to fraction form
    415,197.80/622,796.70 = 321,885.80/x
  3. Step 3: Cross multiply
    415,197.80x = 622,796.70 × 321,885.80
  4. Step 4: Simplify right side
    415,197.80x = 200,469,414,016.86
  5. Step 5: Solve for x
    x = 200,469,414,016.86/415,197.80
  6. Step 6: Final answer
    x = 482,828.70

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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.