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Finding the Fourth Proportional to 321,863.89, 444,540.80 and 211,973.77

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Solution

The fourth proportional to 321,863.89, 444,540.80 and 211,973.77 is: 292,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,863.89 : 444,540.80 = 211,973.77 : x
  2. Step 2: Convert to fraction form
    321,863.89/444,540.80 = 211,973.77/x
  3. Step 3: Cross multiply
    321,863.89x = 444,540.80 × 211,973.77
  4. Step 4: Simplify right side
    321,863.89x = 94,230,989,294.82
  5. Step 5: Solve for x
    x = 94,230,989,294.82/321,863.89
  6. Step 6: Final answer
    x = 292,766.58

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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.