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Finding the Fourth Proportional to 392,089.68, 541,819.26 and 320,443.56

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Solution

The fourth proportional to 392,089.68, 541,819.26 and 320,443.56 is: 442,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,089.68 : 541,819.26 = 320,443.56 : x
  2. Step 2: Convert to fraction form
    392,089.68/541,819.26 = 320,443.56/x
  3. Step 3: Cross multiply
    392,089.68x = 541,819.26 × 320,443.56
  4. Step 4: Simplify right side
    392,089.68x = 173,622,492,550.97
  5. Step 5: Solve for x
    x = 173,622,492,550.97/392,089.68
  6. Step 6: Final answer
    x = 442,813.22

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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.