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Finding the Fourth Proportional to 538,897.26, 743,677.92 and 309,469.56

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Solution

The fourth proportional to 538,897.26, 743,677.92 and 309,469.56 is: 427,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,897.26 : 743,677.92 = 309,469.56 : x
  2. Step 2: Convert to fraction form
    538,897.26/743,677.92 = 309,469.56/x
  3. Step 3: Cross multiply
    538,897.26x = 743,677.92 × 309,469.56
  4. Step 4: Simplify right side
    538,897.26x = 230,145,678,684.12
  5. Step 5: Solve for x
    x = 230,145,678,684.12/538,897.26
  6. Step 6: Final answer
    x = 427,067.82

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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.