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Finding the Fourth Proportional to 217,925.60, 326,110.80 and 199,263.20

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Solution

The fourth proportional to 217,925.60, 326,110.80 and 199,263.20 is: 298,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,925.60 : 326,110.80 = 199,263.20 : x
  2. Step 2: Convert to fraction form
    217,925.60/326,110.80 = 199,263.20/x
  3. Step 3: Cross multiply
    217,925.60x = 326,110.80 × 199,263.20
  4. Step 4: Simplify right side
    217,925.60x = 64,981,881,562.56
  5. Step 5: Solve for x
    x = 64,981,881,562.56/217,925.60
  6. Step 6: Final answer
    x = 298,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.