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Finding the Fourth Proportional to 420,138.60, 628,859.10 and 220,173.80

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Solution

The fourth proportional to 420,138.60, 628,859.10 and 220,173.80 is: 329,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138.60 : 628,859.10 = 220,173.80 : x
  2. Step 2: Convert to fraction form
    420,138.60/628,859.10 = 220,173.80/x
  3. Step 3: Cross multiply
    420,138.60x = 628,859.10 × 220,173.80
  4. Step 4: Simplify right side
    420,138.60x = 138,458,297,711.58
  5. Step 5: Solve for x
    x = 138,458,297,711.58/420,138.60
  6. Step 6: Final answer
    x = 329,553.86

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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.