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Finding the Fourth Proportional to 490,914.22, 735,190.34 and 279,912.46

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Solution

The fourth proportional to 490,914.22, 735,190.34 and 279,912.46 is: 419,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,914.22 : 735,190.34 = 279,912.46 : x
  2. Step 2: Convert to fraction form
    490,914.22/735,190.34 = 279,912.46/x
  3. Step 3: Cross multiply
    490,914.22x = 735,190.34 × 279,912.46
  4. Step 4: Simplify right side
    490,914.22x = 205,788,936,637.64
  5. Step 5: Solve for x
    x = 205,788,936,637.64/490,914.22
  6. Step 6: Final answer
    x = 419,195.31

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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.