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Finding the Fourth Proportional to 412,227.42, 617,452.41 and 278,371.62

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Solution

The fourth proportional to 412,227.42, 617,452.41 and 278,371.62 is: 416,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227.42 : 617,452.41 = 278,371.62 : x
  2. Step 2: Convert to fraction form
    412,227.42/617,452.41 = 278,371.62/x
  3. Step 3: Cross multiply
    412,227.42x = 617,452.41 × 278,371.62
  4. Step 4: Simplify right side
    412,227.42x = 171,881,227,644.60
  5. Step 5: Solve for x
    x = 171,881,227,644.60/412,227.42
  6. Step 6: Final answer
    x = 416,957.29

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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.