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Finding the Fourth Proportional to 404,397.20, 606,984.60 and 204,942.80

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Solution

The fourth proportional to 404,397.20, 606,984.60 and 204,942.80 is: 307,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,397.20 : 606,984.60 = 204,942.80 : x
  2. Step 2: Convert to fraction form
    404,397.20/606,984.60 = 204,942.80/x
  3. Step 3: Cross multiply
    404,397.20x = 606,984.60 × 204,942.80
  4. Step 4: Simplify right side
    404,397.20x = 124,397,123,480.88
  5. Step 5: Solve for x
    x = 124,397,123,480.88/404,397.20
  6. Step 6: Final answer
    x = 307,611.24

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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.