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Finding the Fourth Proportional to 419,768.94, 629,468.10 and 120,181.53

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Solution

The fourth proportional to 419,768.94, 629,468.10 and 120,181.53 is: 180,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,768.94 : 629,468.10 = 120,181.53 : x
  2. Step 2: Convert to fraction form
    419,768.94/629,468.10 = 120,181.53/x
  3. Step 3: Cross multiply
    419,768.94x = 629,468.10 × 120,181.53
  4. Step 4: Simplify right side
    419,768.94x = 75,650,439,344.19
  5. Step 5: Solve for x
    x = 75,650,439,344.19/419,768.94
  6. Step 6: Final answer
    x = 180,219.24

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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.