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Finding the Fourth Proportional to 308,380.36, 425,636.02 and 200,763

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Solution

The fourth proportional to 308,380.36, 425,636.02 and 200,763 is: 277,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,380.36 : 425,636.02 = 200,763 : x
  2. Step 2: Convert to fraction form
    308,380.36/425,636.02 = 200,763/x
  3. Step 3: Cross multiply
    308,380.36x = 425,636.02 × 200,763
  4. Step 4: Simplify right side
    308,380.36x = 85,451,964,283.26
  5. Step 5: Solve for x
    x = 85,451,964,283.26/308,380.36
  6. Step 6: Final answer
    x = 277,099.24

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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.