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Finding the Fourth Proportional to 420,129.60, 628,845.60 and 220,164.80

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Solution

The fourth proportional to 420,129.60, 628,845.60 and 220,164.80 is: 329,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,129.60 : 628,845.60 = 220,164.80 : x
  2. Step 2: Convert to fraction form
    420,129.60/628,845.60 = 220,164.80/x
  3. Step 3: Cross multiply
    420,129.60x = 628,845.60 × 220,164.80
  4. Step 4: Simplify right side
    420,129.60x = 138,449,665,754.88
  5. Step 5: Solve for x
    x = 138,449,665,754.88/420,129.60
  6. Step 6: Final answer
    x = 329,540.37

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1.5x scale

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.