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Finding the Fourth Proportional to 329,942.54, 494,874.92 and 259,841.90

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Solution

The fourth proportional to 329,942.54, 494,874.92 and 259,841.90 is: 389,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,942.54 : 494,874.92 = 259,841.90 : x
  2. Step 2: Convert to fraction form
    329,942.54/494,874.92 = 259,841.90/x
  3. Step 3: Cross multiply
    329,942.54x = 494,874.92 × 259,841.90
  4. Step 4: Simplify right side
    329,942.54x = 128,589,239,475.15
  5. Step 5: Solve for x
    x = 128,589,239,475.15/329,942.54
  6. Step 6: Final answer
    x = 389,732.22

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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.