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Finding the Fourth Proportional to 298,197.20, 411,515.40 and 162,231.92

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Solution

The fourth proportional to 298,197.20, 411,515.40 and 162,231.92 is: 223,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,197.20 : 411,515.40 = 162,231.92 : x
  2. Step 2: Convert to fraction form
    298,197.20/411,515.40 = 162,231.92/x
  3. Step 3: Cross multiply
    298,197.20x = 411,515.40 × 162,231.92
  4. Step 4: Simplify right side
    298,197.20x = 66,760,933,451.57
  5. Step 5: Solve for x
    x = 66,760,933,451.57/298,197.20
  6. Step 6: Final answer
    x = 223,881.83

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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.