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Finding the Fourth Proportional to 538,697.94, 743,404.68 and 323,961

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Solution

The fourth proportional to 538,697.94, 743,404.68 and 323,961 is: 447,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,697.94 : 743,404.68 = 323,961 : x
  2. Step 2: Convert to fraction form
    538,697.94/743,404.68 = 323,961/x
  3. Step 3: Cross multiply
    538,697.94x = 743,404.68 × 323,961
  4. Step 4: Simplify right side
    538,697.94x = 240,834,123,537.48
  5. Step 5: Solve for x
    x = 240,834,123,537.48/538,697.94
  6. Step 6: Final answer
    x = 447,067.10

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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.