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Finding the Fourth Proportional to 538,878.44, 743,635.14 and 297,171.20

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Solution

The fourth proportional to 538,878.44, 743,635.14 and 297,171.20 is: 410,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,878.44 : 743,635.14 = 297,171.20 : x
  2. Step 2: Convert to fraction form
    538,878.44/743,635.14 = 297,171.20/x
  3. Step 3: Cross multiply
    538,878.44x = 743,635.14 × 297,171.20
  4. Step 4: Simplify right side
    538,878.44x = 220,986,946,915.97
  5. Step 5: Solve for x
    x = 220,986,946,915.97/538,878.44
  6. Step 6: Final answer
    x = 410,086.82

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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.