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Finding the Fourth Proportional to 408,745.44, 613,243 and 209,207.21

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Solution

The fourth proportional to 408,745.44, 613,243 and 209,207.21 is: 313,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,745.44 : 613,243 = 209,207.21 : x
  2. Step 2: Convert to fraction form
    408,745.44/613,243 = 209,207.21/x
  3. Step 3: Cross multiply
    408,745.44x = 613,243 × 209,207.21
  4. Step 4: Simplify right side
    408,745.44x = 128,294,857,082.03
  5. Step 5: Solve for x
    x = 128,294,857,082.03/408,745.44
  6. Step 6: Final answer
    x = 313,874.71

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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.