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Finding the Fourth Proportional to 603,453.87, 905,109 and 198,545.67

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Solution

The fourth proportional to 603,453.87, 905,109 and 198,545.67 is: 297,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,453.87 : 905,109 = 198,545.67 : x
  2. Step 2: Convert to fraction form
    603,453.87/905,109 = 198,545.67/x
  3. Step 3: Cross multiply
    603,453.87x = 905,109 × 198,545.67
  4. Step 4: Simplify right side
    603,453.87x = 179,705,472,828.03
  5. Step 5: Solve for x
    x = 179,705,472,828.03/603,453.87
  6. Step 6: Final answer
    x = 297,794.88

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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.