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Finding the Fourth Proportional to 422,824.80, 634,237.20 and 256,936.80

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Solution

The fourth proportional to 422,824.80, 634,237.20 and 256,936.80 is: 385,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,824.80 : 634,237.20 = 256,936.80 : x
  2. Step 2: Convert to fraction form
    422,824.80/634,237.20 = 256,936.80/x
  3. Step 3: Cross multiply
    422,824.80x = 634,237.20 × 256,936.80
  4. Step 4: Simplify right side
    422,824.80x = 162,958,876,608.96
  5. Step 5: Solve for x
    x = 162,958,876,608.96/422,824.80
  6. Step 6: Final answer
    x = 385,405.20

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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.