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Finding the Fourth Proportional to 454,950.61, 682,401.27 and 139,408.44

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Solution

The fourth proportional to 454,950.61, 682,401.27 and 139,408.44 is: 209,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,950.61 : 682,401.27 = 139,408.44 : x
  2. Step 2: Convert to fraction form
    454,950.61/682,401.27 = 139,408.44/x
  3. Step 3: Cross multiply
    454,950.61x = 682,401.27 × 139,408.44
  4. Step 4: Simplify right side
    454,950.61x = 95,132,496,504.72
  5. Step 5: Solve for x
    x = 95,132,496,504.72/454,950.61
  6. Step 6: Final answer
    x = 209,105.11

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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.