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Finding the Fourth Proportional to 422,910.45, 634,299.75 and 123,359.67

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Solution

The fourth proportional to 422,910.45, 634,299.75 and 123,359.67 is: 185,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910.45 : 634,299.75 = 123,359.67 : x
  2. Step 2: Convert to fraction form
    422,910.45/634,299.75 = 123,359.67/x
  3. Step 3: Cross multiply
    422,910.45x = 634,299.75 × 123,359.67
  4. Step 4: Simplify right side
    422,910.45x = 78,247,007,841.08
  5. Step 5: Solve for x
    x = 78,247,007,841.08/422,910.45
  6. Step 6: Final answer
    x = 185,020.28

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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.