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Finding the Fourth Proportional to 355,190, 490,162.20 and 196,214

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Solution

The fourth proportional to 355,190, 490,162.20 and 196,214 is: 270,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,190 : 490,162.20 = 196,214 : x
  2. Step 2: Convert to fraction form
    355,190/490,162.20 = 196,214/x
  3. Step 3: Cross multiply
    355,190x = 490,162.20 × 196,214
  4. Step 4: Simplify right side
    355,190x = 96,176,685,910.80
  5. Step 5: Solve for x
    x = 96,176,685,910.80/355,190
  6. Step 6: Final answer
    x = 270,775.32

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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.