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Finding the Fourth Proportional to 454,821.96, 682,234.54 and 139,277.48

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Solution

The fourth proportional to 454,821.96, 682,234.54 and 139,277.48 is: 208,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,821.96 : 682,234.54 = 139,277.48 : x
  2. Step 2: Convert to fraction form
    454,821.96/682,234.54 = 139,277.48/x
  3. Step 3: Cross multiply
    454,821.96x = 682,234.54 × 139,277.48
  4. Step 4: Simplify right side
    454,821.96x = 95,019,907,500.16
  5. Step 5: Solve for x
    x = 95,019,907,500.16/454,821.96
  6. Step 6: Final answer
    x = 208,916.71

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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.