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Finding the Fourth Proportional to 538,049.80, 806,880.30 and 218,067.40

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Solution

The fourth proportional to 538,049.80, 806,880.30 and 218,067.40 is: 327,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,049.80 : 806,880.30 = 218,067.40 : x
  2. Step 2: Convert to fraction form
    538,049.80/806,880.30 = 218,067.40/x
  3. Step 3: Cross multiply
    538,049.80x = 806,880.30 × 218,067.40
  4. Step 4: Simplify right side
    538,049.80x = 175,954,289,132.22
  5. Step 5: Solve for x
    x = 175,954,289,132.22/538,049.80
  6. Step 6: Final answer
    x = 327,022.31

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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.