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Finding the Fourth Proportional to 392,219.84, 541,183.20 and 222,409.28

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Solution

The fourth proportional to 392,219.84, 541,183.20 and 222,409.28 is: 306,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,219.84 : 541,183.20 = 222,409.28 : x
  2. Step 2: Convert to fraction form
    392,219.84/541,183.20 = 222,409.28/x
  3. Step 3: Cross multiply
    392,219.84x = 541,183.20 × 222,409.28
  4. Step 4: Simplify right side
    392,219.84x = 120,364,165,860.10
  5. Step 5: Solve for x
    x = 120,364,165,860.10/392,219.84
  6. Step 6: Final answer
    x = 306,879.34

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1.5x scale

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.