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Finding the Fourth Proportional to 568,198.78, 852,076.68 and 213,019

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Solution

The fourth proportional to 568,198.78, 852,076.68 and 213,019 is: 319,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,198.78 : 852,076.68 = 213,019 : x
  2. Step 2: Convert to fraction form
    568,198.78/852,076.68 = 213,019/x
  3. Step 3: Cross multiply
    568,198.78x = 852,076.68 × 213,019
  4. Step 4: Simplify right side
    568,198.78x = 181,508,522,296.92
  5. Step 5: Solve for x
    x = 181,508,522,296.92/568,198.78
  6. Step 6: Final answer
    x = 319,445.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.