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Finding the Fourth Proportional to 321,886.44, 482,848.12 and 85,222.96

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Solution

The fourth proportional to 321,886.44, 482,848.12 and 85,222.96 is: 127,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,886.44 : 482,848.12 = 85,222.96 : x
  2. Step 2: Convert to fraction form
    321,886.44/482,848.12 = 85,222.96/x
  3. Step 3: Cross multiply
    321,886.44x = 482,848.12 × 85,222.96
  4. Step 4: Simplify right side
    321,886.44x = 41,149,746,016.84
  5. Step 5: Solve for x
    x = 41,149,746,016.84/321,886.44
  6. Step 6: Final answer
    x = 127,839.33

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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.