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Finding the Fourth Proportional to 392,749, 541,993.64 and 213,901

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Solution

The fourth proportional to 392,749, 541,993.64 and 213,901 is: 295,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,749 : 541,993.64 = 213,901 : x
  2. Step 2: Convert to fraction form
    392,749/541,993.64 = 213,901/x
  3. Step 3: Cross multiply
    392,749x = 541,993.64 × 213,901
  4. Step 4: Simplify right side
    392,749x = 115,932,981,589.64
  5. Step 5: Solve for x
    x = 115,932,981,589.64/392,749
  6. Step 6: Final answer
    x = 295,183.39

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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.