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Finding the Fourth Proportional to 396,998.82, 547,923.69 and 289,923.30

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Solution

The fourth proportional to 396,998.82, 547,923.69 and 289,923.30 is: 400,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,998.82 : 547,923.69 = 289,923.30 : x
  2. Step 2: Convert to fraction form
    396,998.82/547,923.69 = 289,923.30/x
  3. Step 3: Cross multiply
    396,998.82x = 547,923.69 × 289,923.30
  4. Step 4: Simplify right side
    396,998.82x = 158,855,844,352.98
  5. Step 5: Solve for x
    x = 158,855,844,352.98/396,998.82
  6. Step 6: Final answer
    x = 400,141.86

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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.