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Finding the Fourth Proportional to 343,844.70, 515,879.10 and 172,978.23

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Solution

The fourth proportional to 343,844.70, 515,879.10 and 172,978.23 is: 259,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,844.70 : 515,879.10 = 172,978.23 : x
  2. Step 2: Convert to fraction form
    343,844.70/515,879.10 = 172,978.23/x
  3. Step 3: Cross multiply
    343,844.70x = 515,879.10 × 172,978.23
  4. Step 4: Simplify right side
    343,844.70x = 89,235,853,611.99
  5. Step 5: Solve for x
    x = 89,235,853,611.99/343,844.70
  6. Step 6: Final answer
    x = 259,523.71

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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.