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Finding the Fourth Proportional to 411,684, 568,123.92 and 223,268

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Solution

The fourth proportional to 411,684, 568,123.92 and 223,268 is: 308,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,684 : 568,123.92 = 223,268 : x
  2. Step 2: Convert to fraction form
    411,684/568,123.92 = 223,268/x
  3. Step 3: Cross multiply
    411,684x = 568,123.92 × 223,268
  4. Step 4: Simplify right side
    411,684x = 126,843,891,370.56
  5. Step 5: Solve for x
    x = 126,843,891,370.56/411,684
  6. Step 6: Final answer
    x = 308,109.84

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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.