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Finding the Fourth Proportional to 419,205.60, 628,614.72 and 134,843.40

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Solution

The fourth proportional to 419,205.60, 628,614.72 and 134,843.40 is: 202,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,205.60 : 628,614.72 = 134,843.40 : x
  2. Step 2: Convert to fraction form
    419,205.60/628,614.72 = 134,843.40/x
  3. Step 3: Cross multiply
    419,205.60x = 628,614.72 × 134,843.40
  4. Step 4: Simplify right side
    419,205.60x = 84,764,546,134.85
  5. Step 5: Solve for x
    x = 84,764,546,134.85/419,205.60
  6. Step 6: Final answer
    x = 202,202.80

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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.