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Finding the Fourth Proportional to 397,394.64, 548,397 and 218,546.64

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Solution

The fourth proportional to 397,394.64, 548,397 and 218,546.64 is: 301,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,394.64 : 548,397 = 218,546.64 : x
  2. Step 2: Convert to fraction form
    397,394.64/548,397 = 218,546.64/x
  3. Step 3: Cross multiply
    397,394.64x = 548,397 × 218,546.64
  4. Step 4: Simplify right side
    397,394.64x = 119,850,321,736.08
  5. Step 5: Solve for x
    x = 119,850,321,736.08/397,394.64
  6. Step 6: Final answer
    x = 301,590.18

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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.