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Finding the Fourth Proportional to 352,000.78, 485,758.09 and 199,069

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Solution

The fourth proportional to 352,000.78, 485,758.09 and 199,069 is: 274,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,000.78 : 485,758.09 = 199,069 : x
  2. Step 2: Convert to fraction form
    352,000.78/485,758.09 = 199,069/x
  3. Step 3: Cross multiply
    352,000.78x = 485,758.09 × 199,069
  4. Step 4: Simplify right side
    352,000.78x = 96,699,377,218.21
  5. Step 5: Solve for x
    x = 96,699,377,218.21/352,000.78
  6. Step 6: Final answer
    x = 274,713.53

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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.