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Finding the Fourth Proportional to 217,286.92, 299,856.60 and 120,497.59

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Solution

The fourth proportional to 217,286.92, 299,856.60 and 120,497.59 is: 166,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,286.92 : 299,856.60 = 120,497.59 : x
  2. Step 2: Convert to fraction form
    217,286.92/299,856.60 = 120,497.59/x
  3. Step 3: Cross multiply
    217,286.92x = 299,856.60 × 120,497.59
  4. Step 4: Simplify right side
    217,286.92x = 36,131,996,146.31
  5. Step 5: Solve for x
    x = 36,131,996,146.31/217,286.92
  6. Step 6: Final answer
    x = 166,287.03

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1.5x scale

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.