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Finding the Fourth Proportional to 303,163.70, 454,747.05 and 78,508.38

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Solution

The fourth proportional to 303,163.70, 454,747.05 and 78,508.38 is: 117,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,163.70 : 454,747.05 = 78,508.38 : x
  2. Step 2: Convert to fraction form
    303,163.70/454,747.05 = 78,508.38/x
  3. Step 3: Cross multiply
    303,163.70x = 454,747.05 × 78,508.38
  4. Step 4: Simplify right side
    303,163.70x = 35,701,454,205.28
  5. Step 5: Solve for x
    x = 35,701,454,205.28/303,163.70
  6. Step 6: Final answer
    x = 117,762.96

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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.