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Finding the Fourth Proportional to 273,491.10, 409,908.60 and 140,302.80

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Solution

The fourth proportional to 273,491.10, 409,908.60 and 140,302.80 is: 210,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,491.10 : 409,908.60 = 140,302.80 : x
  2. Step 2: Convert to fraction form
    273,491.10/409,908.60 = 140,302.80/x
  3. Step 3: Cross multiply
    273,491.10x = 409,908.60 × 140,302.80
  4. Step 4: Simplify right side
    273,491.10x = 57,511,324,324.08
  5. Step 5: Solve for x
    x = 57,511,324,324.08/273,491.10
  6. Step 6: Final answer
    x = 210,285.91

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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.