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Finding the Fourth Proportional to 321,817.56, 482,729.98 and 97,179.85

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Solution

The fourth proportional to 321,817.56, 482,729.98 and 97,179.85 is: 145,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,817.56 : 482,729.98 = 97,179.85 : x
  2. Step 2: Convert to fraction form
    321,817.56/482,729.98 = 97,179.85/x
  3. Step 3: Cross multiply
    321,817.56x = 482,729.98 × 97,179.85
  4. Step 4: Simplify right side
    321,817.56x = 46,911,627,589.58
  5. Step 5: Solve for x
    x = 46,911,627,589.58/321,817.56
  6. Step 6: Final answer
    x = 145,770.88

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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.