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Finding the Fourth Proportional to 396,745.56, 594,859.68 and 143,978.40

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Solution

The fourth proportional to 396,745.56, 594,859.68 and 143,978.40 is: 215,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,745.56 : 594,859.68 = 143,978.40 : x
  2. Step 2: Convert to fraction form
    396,745.56/594,859.68 = 143,978.40/x
  3. Step 3: Cross multiply
    396,745.56x = 594,859.68 × 143,978.40
  4. Step 4: Simplify right side
    396,745.56x = 85,646,944,950.91
  5. Step 5: Solve for x
    x = 85,646,944,950.91/396,745.56
  6. Step 6: Final answer
    x = 215,873.73

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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.