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Finding the Fourth Proportional to 644,912.80, 967,806.60 and 419,724.70

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Solution

The fourth proportional to 644,912.80, 967,806.60 and 419,724.70 is: 629,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,912.80 : 967,806.60 = 419,724.70 : x
  2. Step 2: Convert to fraction form
    644,912.80/967,806.60 = 419,724.70/x
  3. Step 3: Cross multiply
    644,912.80x = 967,806.60 × 419,724.70
  4. Step 4: Simplify right side
    644,912.80x = 406,212,334,843.02
  5. Step 5: Solve for x
    x = 406,212,334,843.02/644,912.80
  6. Step 6: Final answer
    x = 629,871.72

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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.