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Finding the Fourth Proportional to 396,926, 547,766.52 and 218,078

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Solution

The fourth proportional to 396,926, 547,766.52 and 218,078 is: 300,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,926 : 547,766.52 = 218,078 : x
  2. Step 2: Convert to fraction form
    396,926/547,766.52 = 218,078/x
  3. Step 3: Cross multiply
    396,926x = 547,766.52 × 218,078
  4. Step 4: Simplify right side
    396,926x = 119,455,827,148.56
  5. Step 5: Solve for x
    x = 119,455,827,148.56/396,926
  6. Step 6: Final answer
    x = 300,952.39

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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.