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Finding the Fourth Proportional to 392,148.16, 541,164.40 and 222,382.30

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Solution

The fourth proportional to 392,148.16, 541,164.40 and 222,382.30 is: 306,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,148.16 : 541,164.40 = 222,382.30 : x
  2. Step 2: Convert to fraction form
    392,148.16/541,164.40 = 222,382.30/x
  3. Step 3: Cross multiply
    392,148.16x = 541,164.40 × 222,382.30
  4. Step 4: Simplify right side
    392,148.16x = 120,345,383,950.12
  5. Step 5: Solve for x
    x = 120,345,383,950.12/392,148.16
  6. Step 6: Final answer
    x = 306,887.54

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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.