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Finding the Fourth Proportional to 355,192, 490,164.96 and 196,216

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Solution

The fourth proportional to 355,192, 490,164.96 and 196,216 is: 270,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,192 : 490,164.96 = 196,216 : x
  2. Step 2: Convert to fraction form
    355,192/490,164.96 = 196,216/x
  3. Step 3: Cross multiply
    355,192x = 490,164.96 × 196,216
  4. Step 4: Simplify right side
    355,192x = 96,178,207,791.36
  5. Step 5: Solve for x
    x = 96,178,207,791.36/355,192
  6. Step 6: Final answer
    x = 270,778.08

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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.