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Finding the Fourth Proportional to 312,712.69, 431,589.83 and 198,002

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Solution

The fourth proportional to 312,712.69, 431,589.83 and 198,002 is: 273,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712.69 : 431,589.83 = 198,002 : x
  2. Step 2: Convert to fraction form
    312,712.69/431,589.83 = 198,002/x
  3. Step 3: Cross multiply
    312,712.69x = 431,589.83 × 198,002
  4. Step 4: Simplify right side
    312,712.69x = 85,455,649,519.66
  5. Step 5: Solve for x
    x = 85,455,649,519.66/312,712.69
  6. Step 6: Final answer
    x = 273,272.09

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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.