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Finding the Fourth Proportional to 454,953.85, 682,406.17 and 139,411.67

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Solution

The fourth proportional to 454,953.85, 682,406.17 and 139,411.67 is: 209,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,953.85 : 682,406.17 = 139,411.67 : x
  2. Step 2: Convert to fraction form
    454,953.85/682,406.17 = 139,411.67/x
  3. Step 3: Cross multiply
    454,953.85x = 682,406.17 × 139,411.67
  4. Step 4: Simplify right side
    454,953.85x = 95,135,380,017.44
  5. Step 5: Solve for x
    x = 95,135,380,017.44/454,953.85
  6. Step 6: Final answer
    x = 209,109.96

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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.