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Finding the Fourth Proportional to 392,714.85, 541,949.09 and 222,951.81

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Solution

The fourth proportional to 392,714.85, 541,949.09 and 222,951.81 is: 307,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,714.85 : 541,949.09 = 222,951.81 : x
  2. Step 2: Convert to fraction form
    392,714.85/541,949.09 = 222,951.81/x
  3. Step 3: Cross multiply
    392,714.85x = 541,949.09 × 222,951.81
  4. Step 4: Simplify right side
    392,714.85x = 120,828,529,428.59
  5. Step 5: Solve for x
    x = 120,828,529,428.59/392,714.85
  6. Step 6: Final answer
    x = 307,674.97

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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.