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Finding the Fourth Proportional to 356,425.92, 491,880.06 and 195,294.78

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Solution

The fourth proportional to 356,425.92, 491,880.06 and 195,294.78 is: 269,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,425.92 : 491,880.06 = 195,294.78 : x
  2. Step 2: Convert to fraction form
    356,425.92/491,880.06 = 195,294.78/x
  3. Step 3: Cross multiply
    356,425.92x = 491,880.06 × 195,294.78
  4. Step 4: Simplify right side
    356,425.92x = 96,061,608,104.09
  5. Step 5: Solve for x
    x = 96,061,608,104.09/356,425.92
  6. Step 6: Final answer
    x = 269,513.53

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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.