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Finding the Fourth Proportional to 538,427.52, 743,020.32 and 293,414.40

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Solution

The fourth proportional to 538,427.52, 743,020.32 and 293,414.40 is: 404,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,427.52 : 743,020.32 = 293,414.40 : x
  2. Step 2: Convert to fraction form
    538,427.52/743,020.32 = 293,414.40/x
  3. Step 3: Cross multiply
    538,427.52x = 743,020.32 × 293,414.40
  4. Step 4: Simplify right side
    538,427.52x = 218,012,861,380.61
  5. Step 5: Solve for x
    x = 218,012,861,380.61/538,427.52
  6. Step 6: Final answer
    x = 404,906.61

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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.