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Finding the Fourth Proportional to 654,112.57, 981,168.87 and 204,868.60

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Solution

The fourth proportional to 654,112.57, 981,168.87 and 204,868.60 is: 307,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,112.57 : 981,168.87 = 204,868.60 : x
  2. Step 2: Convert to fraction form
    654,112.57/981,168.87 = 204,868.60/x
  3. Step 3: Cross multiply
    654,112.57x = 981,168.87 × 204,868.60
  4. Step 4: Simplify right side
    654,112.57x = 201,010,692,760.48
  5. Step 5: Solve for x
    x = 201,010,692,760.48/654,112.57
  6. Step 6: Final answer
    x = 307,302.90

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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.