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Finding the Fourth Proportional to 422,995.87, 634,712.05 and 280,939.29

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Solution

The fourth proportional to 422,995.87, 634,712.05 and 280,939.29 is: 421,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,995.87 : 634,712.05 = 280,939.29 : x
  2. Step 2: Convert to fraction form
    422,995.87/634,712.05 = 280,939.29/x
  3. Step 3: Cross multiply
    422,995.87x = 634,712.05 × 280,939.29
  4. Step 4: Simplify right side
    422,995.87x = 178,315,550,652.45
  5. Step 5: Solve for x
    x = 178,315,550,652.45/422,995.87
  6. Step 6: Final answer
    x = 421,553.88

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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.