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Finding the Fourth Proportional to 394,846.64, 591,911.68 and 205,085.20

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Solution

The fourth proportional to 394,846.64, 591,911.68 and 205,085.20 is: 307,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,846.64 : 591,911.68 = 205,085.20 : x
  2. Step 2: Convert to fraction form
    394,846.64/591,911.68 = 205,085.20/x
  3. Step 3: Cross multiply
    394,846.64x = 591,911.68 × 205,085.20
  4. Step 4: Simplify right side
    394,846.64x = 121,392,325,275.14
  5. Step 5: Solve for x
    x = 121,392,325,275.14/394,846.64
  6. Step 6: Final answer
    x = 307,441.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.