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Finding the Fourth Proportional to 321,721.94, 443,843.21 and 185,659.35

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Solution

The fourth proportional to 321,721.94, 443,843.21 and 185,659.35 is: 256,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,721.94 : 443,843.21 = 185,659.35 : x
  2. Step 2: Convert to fraction form
    321,721.94/443,843.21 = 185,659.35/x
  3. Step 3: Cross multiply
    321,721.94x = 443,843.21 × 185,659.35
  4. Step 4: Simplify right side
    321,721.94x = 82,403,640,942.22
  5. Step 5: Solve for x
    x = 82,403,640,942.22/321,721.94
  6. Step 6: Final answer
    x = 256,133.11

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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.