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Finding the Fourth Proportional to 217,998.40, 326,824.80 and 119,502.40

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Solution

The fourth proportional to 217,998.40, 326,824.80 and 119,502.40 is: 179,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,998.40 : 326,824.80 = 119,502.40 : x
  2. Step 2: Convert to fraction form
    217,998.40/326,824.80 = 119,502.40/x
  3. Step 3: Cross multiply
    217,998.40x = 326,824.80 × 119,502.40
  4. Step 4: Simplify right side
    217,998.40x = 39,056,347,979.52
  5. Step 5: Solve for x
    x = 39,056,347,979.52/217,998.40
  6. Step 6: Final answer
    x = 179,158.87

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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.