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Finding the Fourth Proportional to 321,538.19, 443,745.44 and 178,311.95

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Solution

The fourth proportional to 321,538.19, 443,745.44 and 178,311.95 is: 246,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,538.19 : 443,745.44 = 178,311.95 : x
  2. Step 2: Convert to fraction form
    321,538.19/443,745.44 = 178,311.95/x
  3. Step 3: Cross multiply
    321,538.19x = 443,745.44 × 178,311.95
  4. Step 4: Simplify right side
    321,538.19x = 79,125,113,818.45
  5. Step 5: Solve for x
    x = 79,125,113,818.45/321,538.19
  6. Step 6: Final answer
    x = 246,083.10

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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.