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Finding the Fourth Proportional to 275,205.75, 412,271.40 and 189,614.67

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Solution

The fourth proportional to 275,205.75, 412,271.40 and 189,614.67 is: 284,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205.75 : 412,271.40 = 189,614.67 : x
  2. Step 2: Convert to fraction form
    275,205.75/412,271.40 = 189,614.67/x
  3. Step 3: Cross multiply
    275,205.75x = 412,271.40 × 189,614.67
  4. Step 4: Simplify right side
    275,205.75x = 78,172,704,626.48
  5. Step 5: Solve for x
    x = 78,172,704,626.48/275,205.75
  6. Step 6: Final answer
    x = 284,051.86

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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.