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Finding the Fourth Proportional to 538,470.90, 806,722.20 and 327,862.80

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Solution

The fourth proportional to 538,470.90, 806,722.20 and 327,862.80 is: 491,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,470.90 : 806,722.20 = 327,862.80 : x
  2. Step 2: Convert to fraction form
    538,470.90/806,722.20 = 327,862.80/x
  3. Step 3: Cross multiply
    538,470.90x = 806,722.20 × 327,862.80
  4. Step 4: Simplify right side
    538,470.90x = 264,494,199,314.16
  5. Step 5: Solve for x
    x = 264,494,199,314.16/538,470.90
  6. Step 6: Final answer
    x = 491,194.97

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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.