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Finding the Fourth Proportional to 538,694.31, 743,403.88 and 296,985.54

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Solution

The fourth proportional to 538,694.31, 743,403.88 and 296,985.54 is: 409,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,694.31 : 743,403.88 = 296,985.54 : x
  2. Step 2: Convert to fraction form
    538,694.31/743,403.88 = 296,985.54/x
  3. Step 3: Cross multiply
    538,694.31x = 743,403.88 × 296,985.54
  4. Step 4: Simplify right side
    538,694.31x = 220,780,198,280.41
  5. Step 5: Solve for x
    x = 220,780,198,280.41/538,694.31
  6. Step 6: Final answer
    x = 409,843.20

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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.