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Finding the Fourth Proportional to 617,044.20, 925,452.78 and 280,003.80

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Solution

The fourth proportional to 617,044.20, 925,452.78 and 280,003.80 is: 419,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,044.20 : 925,452.78 = 280,003.80 : x
  2. Step 2: Convert to fraction form
    617,044.20/925,452.78 = 280,003.80/x
  3. Step 3: Cross multiply
    617,044.20x = 925,452.78 × 280,003.80
  4. Step 4: Simplify right side
    617,044.20x = 259,130,295,120.56
  5. Step 5: Solve for x
    x = 259,130,295,120.56/617,044.20
  6. Step 6: Final answer
    x = 419,954.19

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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.