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Finding the Fourth Proportional to 396,947.39, 548,014.41 and 261,375.26

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Solution

The fourth proportional to 396,947.39, 548,014.41 and 261,375.26 is: 360,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,947.39 : 548,014.41 = 261,375.26 : x
  2. Step 2: Convert to fraction form
    396,947.39/548,014.41 = 261,375.26/x
  3. Step 3: Cross multiply
    396,947.39x = 548,014.41 × 261,375.26
  4. Step 4: Simplify right side
    396,947.39x = 143,237,406,157.43
  5. Step 5: Solve for x
    x = 143,237,406,157.43/396,947.39
  6. Step 6: Final answer
    x = 360,847.34

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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.