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Finding the Fourth Proportional to 491,449.25, 677,939.85 and 338,221.42

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Solution

The fourth proportional to 491,449.25, 677,939.85 and 338,221.42 is: 466,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,449.25 : 677,939.85 = 338,221.42 : x
  2. Step 2: Convert to fraction form
    491,449.25/677,939.85 = 338,221.42/x
  3. Step 3: Cross multiply
    491,449.25x = 677,939.85 × 338,221.42
  4. Step 4: Simplify right side
    491,449.25x = 229,293,780,857.34
  5. Step 5: Solve for x
    x = 229,293,780,857.34/491,449.25
  6. Step 6: Final answer
    x = 466,566.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.