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Finding the Fourth Proportional to 396,187.80, 593,657.46 and 306,449.88

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Solution

The fourth proportional to 396,187.80, 593,657.46 and 306,449.88 is: 459,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,187.80 : 593,657.46 = 306,449.88 : x
  2. Step 2: Convert to fraction form
    396,187.80/593,657.46 = 306,449.88/x
  3. Step 3: Cross multiply
    396,187.80x = 593,657.46 × 306,449.88
  4. Step 4: Simplify right side
    396,187.80x = 181,926,257,378.11
  5. Step 5: Solve for x
    x = 181,926,257,378.11/396,187.80
  6. Step 6: Final answer
    x = 459,191.97

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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.