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Finding the Fourth Proportional to 209,324.65, 313,640.70 and 120,423.10

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Solution

The fourth proportional to 209,324.65, 313,640.70 and 120,423.10 is: 180,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.65 : 313,640.70 = 120,423.10 : x
  2. Step 2: Convert to fraction form
    209,324.65/313,640.70 = 120,423.10/x
  3. Step 3: Cross multiply
    209,324.65x = 313,640.70 × 120,423.10
  4. Step 4: Simplify right side
    209,324.65x = 37,769,585,380.17
  5. Step 5: Solve for x
    x = 37,769,585,380.17/209,324.65
  6. Step 6: Final answer
    x = 180,435.44

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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.