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Finding the Fourth Proportional to 219,975.30, 330,363.90 and 192,419.10

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Solution

The fourth proportional to 219,975.30, 330,363.90 and 192,419.10 is: 288,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,975.30 : 330,363.90 = 192,419.10 : x
  2. Step 2: Convert to fraction form
    219,975.30/330,363.90 = 192,419.10/x
  3. Step 3: Cross multiply
    219,975.30x = 330,363.90 × 192,419.10
  4. Step 4: Simplify right side
    219,975.30x = 63,568,324,310.49
  5. Step 5: Solve for x
    x = 63,568,324,310.49/219,975.30
  6. Step 6: Final answer
    x = 288,979.37

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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.