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Finding the Fourth Proportional to 419,961.40, 629,942.10 and 419,961.40

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Solution

The fourth proportional to 419,961.40, 629,942.10 and 419,961.40 is: 629,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,961.40 : 629,942.10 = 419,961.40 : x
  2. Step 2: Convert to fraction form
    419,961.40/629,942.10 = 419,961.40/x
  3. Step 3: Cross multiply
    419,961.40x = 629,942.10 × 419,961.40
  4. Step 4: Simplify right side
    419,961.40x = 264,551,366,234.94
  5. Step 5: Solve for x
    x = 264,551,366,234.94/419,961.40
  6. Step 6: Final answer
    x = 629,942.10

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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.