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Finding the Fourth Proportional to 397,711.25, 548,841.62 and 218,863.25

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Solution

The fourth proportional to 397,711.25, 548,841.62 and 218,863.25 is: 302,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.25 : 548,841.62 = 218,863.25 : x
  2. Step 2: Convert to fraction form
    397,711.25/548,841.62 = 218,863.25/x
  3. Step 3: Cross multiply
    397,711.25x = 548,841.62 × 218,863.25
  4. Step 4: Simplify right side
    397,711.25x = 120,121,259,594.15
  5. Step 5: Solve for x
    x = 120,121,259,594.15/397,711.25
  6. Step 6: Final answer
    x = 302,031.33

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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.