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Finding the Fourth Proportional to 392,764.37, 542,015.20 and 222,998.49

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Solution

The fourth proportional to 392,764.37, 542,015.20 and 222,998.49 is: 307,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,764.37 : 542,015.20 = 222,998.49 : x
  2. Step 2: Convert to fraction form
    392,764.37/542,015.20 = 222,998.49/x
  3. Step 3: Cross multiply
    392,764.37x = 542,015.20 × 222,998.49
  4. Step 4: Simplify right side
    392,764.37x = 120,868,571,705.85
  5. Step 5: Solve for x
    x = 120,868,571,705.85/392,764.37
  6. Step 6: Final answer
    x = 307,738.13

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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.