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Finding the Fourth Proportional to 396,633.78, 594,948.21 and 143,855.46

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Solution

The fourth proportional to 396,633.78, 594,948.21 and 143,855.46 is: 215,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,633.78 : 594,948.21 = 143,855.46 : x
  2. Step 2: Convert to fraction form
    396,633.78/594,948.21 = 143,855.46/x
  3. Step 3: Cross multiply
    396,633.78x = 594,948.21 × 143,855.46
  4. Step 4: Simplify right side
    396,633.78x = 85,586,548,425.73
  5. Step 5: Solve for x
    x = 85,586,548,425.73/396,633.78
  6. Step 6: Final answer
    x = 215,782.30

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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.