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Finding the Fourth Proportional to 398,986, 550,600.68 and 220,138

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Solution

The fourth proportional to 398,986, 550,600.68 and 220,138 is: 303,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,986 : 550,600.68 = 220,138 : x
  2. Step 2: Convert to fraction form
    398,986/550,600.68 = 220,138/x
  3. Step 3: Cross multiply
    398,986x = 550,600.68 × 220,138
  4. Step 4: Simplify right side
    398,986x = 121,208,132,493.84
  5. Step 5: Solve for x
    x = 121,208,132,493.84/398,986
  6. Step 6: Final answer
    x = 303,790.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.