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Finding the Fourth Proportional to 490,617.70, 736,212.09 and 206,287.66

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Solution

The fourth proportional to 490,617.70, 736,212.09 and 206,287.66 is: 309,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,617.70 : 736,212.09 = 206,287.66 : x
  2. Step 2: Convert to fraction form
    490,617.70/736,212.09 = 206,287.66/x
  3. Step 3: Cross multiply
    490,617.70x = 736,212.09 × 206,287.66
  4. Step 4: Simplify right side
    490,617.70x = 151,871,469,309.81
  5. Step 5: Solve for x
    x = 151,871,469,309.81/490,617.70
  6. Step 6: Final answer
    x = 309,551.55

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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.