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Finding the Fourth Proportional to 398,840, 550,399.20 and 219,992

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Solution

The fourth proportional to 398,840, 550,399.20 and 219,992 is: 303,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,840 : 550,399.20 = 219,992 : x
  2. Step 2: Convert to fraction form
    398,840/550,399.20 = 219,992/x
  3. Step 3: Cross multiply
    398,840x = 550,399.20 × 219,992
  4. Step 4: Simplify right side
    398,840x = 121,083,420,806.40
  5. Step 5: Solve for x
    x = 121,083,420,806.40/398,840
  6. Step 6: Final answer
    x = 303,588.96

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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.