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Finding the Fourth Proportional to 538,987.15, 743,329.87 and 431,517.97

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Solution

The fourth proportional to 538,987.15, 743,329.87 and 431,517.97 is: 595,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,987.15 : 743,329.87 = 431,517.97 : x
  2. Step 2: Convert to fraction form
    538,987.15/743,329.87 = 431,517.97/x
  3. Step 3: Cross multiply
    538,987.15x = 743,329.87 × 431,517.97
  4. Step 4: Simplify right side
    538,987.15x = 320,760,196,542.76
  5. Step 5: Solve for x
    x = 320,760,196,542.76/538,987.15
  6. Step 6: Final answer
    x = 595,116.59

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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.