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Finding the Fourth Proportional to 228,512.52, 315,949.32 and 200,136.96

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Solution

The fourth proportional to 228,512.52, 315,949.32 and 200,136.96 is: 276,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,512.52 : 315,949.32 = 200,136.96 : x
  2. Step 2: Convert to fraction form
    228,512.52/315,949.32 = 200,136.96/x
  3. Step 3: Cross multiply
    228,512.52x = 315,949.32 × 200,136.96
  4. Step 4: Simplify right side
    228,512.52x = 63,233,136,418.87
  5. Step 5: Solve for x
    x = 63,233,136,418.87/228,512.52
  6. Step 6: Final answer
    x = 276,716.29

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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.