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Finding the Fourth Proportional to 568,905.78, 853,391.45 and 213,922.88

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Solution

The fourth proportional to 568,905.78, 853,391.45 and 213,922.88 is: 320,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,905.78 : 853,391.45 = 213,922.88 : x
  2. Step 2: Convert to fraction form
    568,905.78/853,391.45 = 213,922.88/x
  3. Step 3: Cross multiply
    568,905.78x = 853,391.45 × 213,922.88
  4. Step 4: Simplify right side
    568,905.78x = 182,559,951,414.80
  5. Step 5: Solve for x
    x = 182,559,951,414.80/568,905.78
  6. Step 6: Final answer
    x = 320,896.64

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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.