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Finding the Fourth Proportional to 355,137.34, 490,103.94 and 204,234.34

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Solution

The fourth proportional to 355,137.34, 490,103.94 and 204,234.34 is: 281,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,137.34 : 490,103.94 = 204,234.34 : x
  2. Step 2: Convert to fraction form
    355,137.34/490,103.94 = 204,234.34/x
  3. Step 3: Cross multiply
    355,137.34x = 490,103.94 × 204,234.34
  4. Step 4: Simplify right side
    355,137.34x = 100,096,054,717.30
  5. Step 5: Solve for x
    x = 100,096,054,717.30/355,137.34
  6. Step 6: Final answer
    x = 281,851.68

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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.