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Finding the Fourth Proportional to 392,144.16, 541,158.89 and 222,378.29

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Solution

The fourth proportional to 392,144.16, 541,158.89 and 222,378.29 is: 306,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,144.16 : 541,158.89 = 222,378.29 : x
  2. Step 2: Convert to fraction form
    392,144.16/541,158.89 = 222,378.29/x
  3. Step 3: Cross multiply
    392,144.16x = 541,158.89 × 222,378.29
  4. Step 4: Simplify right side
    392,144.16x = 120,341,988,576.50
  5. Step 5: Solve for x
    x = 120,341,988,576.50/392,144.16
  6. Step 6: Final answer
    x = 306,882.01

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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.