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Finding the Fourth Proportional to 321,871.31, 444,161.71 and 201,005.34

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Solution

The fourth proportional to 321,871.31, 444,161.71 and 201,005.34 is: 277,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.31 : 444,161.71 = 201,005.34 : x
  2. Step 2: Convert to fraction form
    321,871.31/444,161.71 = 201,005.34/x
  3. Step 3: Cross multiply
    321,871.31x = 444,161.71 × 201,005.34
  4. Step 4: Simplify right side
    321,871.31x = 89,278,872,307.70
  5. Step 5: Solve for x
    x = 89,278,872,307.70/321,871.31
  6. Step 6: Final answer
    x = 277,374.43

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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.