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Finding the Fourth Proportional to 523,896.86, 785,850.78 and 419,380.22

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Solution

The fourth proportional to 523,896.86, 785,850.78 and 419,380.22 is: 629,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,896.86 : 785,850.78 = 419,380.22 : x
  2. Step 2: Convert to fraction form
    523,896.86/785,850.78 = 419,380.22/x
  3. Step 3: Cross multiply
    523,896.86x = 785,850.78 × 419,380.22
  4. Step 4: Simplify right side
    523,896.86x = 329,570,273,003.57
  5. Step 5: Solve for x
    x = 329,570,273,003.57/523,896.86
  6. Step 6: Final answer
    x = 629,074.72

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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.