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Finding the Fourth Proportional to 397,713.25, 548,844.38 and 218,865.25

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Solution

The fourth proportional to 397,713.25, 548,844.38 and 218,865.25 is: 302,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,713.25 : 548,844.38 = 218,865.25 : x
  2. Step 2: Convert to fraction form
    397,713.25/548,844.38 = 218,865.25/x
  3. Step 3: Cross multiply
    397,713.25x = 548,844.38 × 218,865.25
  4. Step 4: Simplify right side
    397,713.25x = 120,122,962,439.80
  5. Step 5: Solve for x
    x = 120,122,962,439.80/397,713.25
  6. Step 6: Final answer
    x = 302,034.10

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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.