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Finding the Fourth Proportional to 273,049.73, 409,508.98 and 139,861.43

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Solution

The fourth proportional to 273,049.73, 409,508.98 and 139,861.43 is: 209,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,049.73 : 409,508.98 = 139,861.43 : x
  2. Step 2: Convert to fraction form
    273,049.73/409,508.98 = 139,861.43/x
  3. Step 3: Cross multiply
    273,049.73x = 409,508.98 × 139,861.43
  4. Step 4: Simplify right side
    273,049.73x = 57,274,509,143.44
  5. Step 5: Solve for x
    x = 57,274,509,143.44/273,049.73
  6. Step 6: Final answer
    x = 209,758.53

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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.