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Finding the Fourth Proportional to 397,297.75, 548,271 and 218,449.75

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Solution

The fourth proportional to 397,297.75, 548,271 and 218,449.75 is: 301,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.75 : 548,271 = 218,449.75 : x
  2. Step 2: Convert to fraction form
    397,297.75/548,271 = 218,449.75/x
  3. Step 3: Cross multiply
    397,297.75x = 548,271 × 218,449.75
  4. Step 4: Simplify right side
    397,297.75x = 119,769,662,882.25
  5. Step 5: Solve for x
    x = 119,769,662,882.25/397,297.75
  6. Step 6: Final answer
    x = 301,460.71

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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.