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Finding the Fourth Proportional to 397,674, 548,790.12 and 218,826

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Solution

The fourth proportional to 397,674, 548,790.12 and 218,826 is: 301,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,674 : 548,790.12 = 218,826 : x
  2. Step 2: Convert to fraction form
    397,674/548,790.12 = 218,826/x
  3. Step 3: Cross multiply
    397,674x = 548,790.12 × 218,826
  4. Step 4: Simplify right side
    397,674x = 120,089,546,799.12
  5. Step 5: Solve for x
    x = 120,089,546,799.12/397,674
  6. Step 6: Final answer
    x = 301,979.88

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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.