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Finding the Fourth Proportional to 396,551.81, 545,137.26 and 341,158.78

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Solution

The fourth proportional to 396,551.81, 545,137.26 and 341,158.78 is: 468,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,551.81 : 545,137.26 = 341,158.78 : x
  2. Step 2: Convert to fraction form
    396,551.81/545,137.26 = 341,158.78/x
  3. Step 3: Cross multiply
    396,551.81x = 545,137.26 × 341,158.78
  4. Step 4: Simplify right side
    396,551.81x = 185,978,361,191.30
  5. Step 5: Solve for x
    x = 185,978,361,191.30/396,551.81
  6. Step 6: Final answer
    x = 468,988.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.