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Finding the Fourth Proportional to 355,189, 490,160.82 and 196,213

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Solution

The fourth proportional to 355,189, 490,160.82 and 196,213 is: 270,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,189 : 490,160.82 = 196,213 : x
  2. Step 2: Convert to fraction form
    355,189/490,160.82 = 196,213/x
  3. Step 3: Cross multiply
    355,189x = 490,160.82 × 196,213
  4. Step 4: Simplify right side
    355,189x = 96,175,924,974.66
  5. Step 5: Solve for x
    x = 96,175,924,974.66/355,189
  6. Step 6: Final answer
    x = 270,773.94

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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.