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Finding the Fourth Proportional to 422,803.09, 634,056.88 and 198,269.27

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Solution

The fourth proportional to 422,803.09, 634,056.88 and 198,269.27 is: 297,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,803.09 : 634,056.88 = 198,269.27 : x
  2. Step 2: Convert to fraction form
    422,803.09/634,056.88 = 198,269.27/x
  3. Step 3: Cross multiply
    422,803.09x = 634,056.88 × 198,269.27
  4. Step 4: Simplify right side
    422,803.09x = 125,713,993,819.59
  5. Step 5: Solve for x
    x = 125,713,993,819.59/422,803.09
  6. Step 6: Final answer
    x = 297,334.61

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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.