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Finding the Fourth Proportional to 427,581.28, 641,175.60 and 123,906.40

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Solution

The fourth proportional to 427,581.28, 641,175.60 and 123,906.40 is: 185,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,581.28 : 641,175.60 = 123,906.40 : x
  2. Step 2: Convert to fraction form
    427,581.28/641,175.60 = 123,906.40/x
  3. Step 3: Cross multiply
    427,581.28x = 641,175.60 × 123,906.40
  4. Step 4: Simplify right side
    427,581.28x = 79,445,760,363.84
  5. Step 5: Solve for x
    x = 79,445,760,363.84/427,581.28
  6. Step 6: Final answer
    x = 185,802.71

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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.