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Finding the Fourth Proportional to 392,684.36, 541,748.57 and 227,081.72

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Solution

The fourth proportional to 392,684.36, 541,748.57 and 227,081.72 is: 313,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,684.36 : 541,748.57 = 227,081.72 : x
  2. Step 2: Convert to fraction form
    392,684.36/541,748.57 = 227,081.72/x
  3. Step 3: Cross multiply
    392,684.36x = 541,748.57 × 227,081.72
  4. Step 4: Simplify right side
    392,684.36x = 123,021,193,238.99
  5. Step 5: Solve for x
    x = 123,021,193,238.99/392,684.36
  6. Step 6: Final answer
    x = 313,282.64

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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.