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Finding the Fourth Proportional to 303,147.15, 454,722.30 and 78,491.85

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Solution

The fourth proportional to 303,147.15, 454,722.30 and 78,491.85 is: 117,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,147.15 : 454,722.30 = 78,491.85 : x
  2. Step 2: Convert to fraction form
    303,147.15/454,722.30 = 78,491.85/x
  3. Step 3: Cross multiply
    303,147.15x = 454,722.30 × 78,491.85
  4. Step 4: Simplify right side
    303,147.15x = 35,691,994,563.26
  5. Step 5: Solve for x
    x = 35,691,994,563.26/303,147.15
  6. Step 6: Final answer
    x = 117,738.18

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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.