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Finding the Fourth Proportional to 419,788.54, 629,745.08 and 135,385.59

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Solution

The fourth proportional to 419,788.54, 629,745.08 and 135,385.59 is: 203,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,788.54 : 629,745.08 = 135,385.59 : x
  2. Step 2: Convert to fraction form
    419,788.54/629,745.08 = 135,385.59/x
  3. Step 3: Cross multiply
    419,788.54x = 629,745.08 × 135,385.59
  4. Step 4: Simplify right side
    419,788.54x = 85,258,408,528.47
  5. Step 5: Solve for x
    x = 85,258,408,528.47/419,788.54
  6. Step 6: Final answer
    x = 203,098.47

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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.