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Finding the Fourth Proportional to 419,104.50, 628,219.13 and 194,279.55

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Solution

The fourth proportional to 419,104.50, 628,219.13 and 194,279.55 is: 291,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,104.50 : 628,219.13 = 194,279.55 : x
  2. Step 2: Convert to fraction form
    419,104.50/628,219.13 = 194,279.55/x
  3. Step 3: Cross multiply
    419,104.50x = 628,219.13 × 194,279.55
  4. Step 4: Simplify right side
    419,104.50x = 122,050,128,906.39
  5. Step 5: Solve for x
    x = 122,050,128,906.39/419,104.50
  6. Step 6: Final answer
    x = 291,216.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.