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Finding the Fourth Proportional to 419,793.31, 629,686.83 and 120,274.14

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Solution

The fourth proportional to 419,793.31, 629,686.83 and 120,274.14 is: 180,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,793.31 : 629,686.83 = 120,274.14 : x
  2. Step 2: Convert to fraction form
    419,793.31/629,686.83 = 120,274.14/x
  3. Step 3: Cross multiply
    419,793.31x = 629,686.83 × 120,274.14
  4. Step 4: Simplify right side
    419,793.31x = 75,735,044,083.39
  5. Step 5: Solve for x
    x = 75,735,044,083.39/419,793.31
  6. Step 6: Final answer
    x = 180,410.32

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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.