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Finding the Fourth Proportional to 287,584.20, 431,462.70 and 204,640.20

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Solution

The fourth proportional to 287,584.20, 431,462.70 and 204,640.20 is: 307,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.20 : 431,462.70 = 204,640.20 : x
  2. Step 2: Convert to fraction form
    287,584.20/431,462.70 = 204,640.20/x
  3. Step 3: Cross multiply
    287,584.20x = 431,462.70 × 204,640.20
  4. Step 4: Simplify right side
    287,584.20x = 88,294,613,220.54
  5. Step 5: Solve for x
    x = 88,294,613,220.54/287,584.20
  6. Step 6: Final answer
    x = 307,021.78

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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.