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Finding the Fourth Proportional to 538,414.68, 806,729.22 and 327,414.36

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Solution

The fourth proportional to 538,414.68, 806,729.22 and 327,414.36 is: 490,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,414.68 : 806,729.22 = 327,414.36 : x
  2. Step 2: Convert to fraction form
    538,414.68/806,729.22 = 327,414.36/x
  3. Step 3: Cross multiply
    538,414.68x = 806,729.22 × 327,414.36
  4. Step 4: Simplify right side
    538,414.68x = 264,134,731,259.60
  5. Step 5: Solve for x
    x = 264,134,731,259.60/538,414.68
  6. Step 6: Final answer
    x = 490,578.62

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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.