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Finding the Fourth Proportional to 311,520.33, 468,255.90 and 205,585.04

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Solution

The fourth proportional to 311,520.33, 468,255.90 and 205,585.04 is: 309,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,520.33 : 468,255.90 = 205,585.04 : x
  2. Step 2: Convert to fraction form
    311,520.33/468,255.90 = 205,585.04/x
  3. Step 3: Cross multiply
    311,520.33x = 468,255.90 × 205,585.04
  4. Step 4: Simplify right side
    311,520.33x = 96,266,405,504.76
  5. Step 5: Solve for x
    x = 96,266,405,504.76/311,520.33
  6. Step 6: Final answer
    x = 309,021.27

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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.