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Finding the Fourth Proportional to 422,857.27, 634,273.62 and 156,611.89

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Solution

The fourth proportional to 422,857.27, 634,273.62 and 156,611.89 is: 234,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,857.27 : 634,273.62 = 156,611.89 : x
  2. Step 2: Convert to fraction form
    422,857.27/634,273.62 = 156,611.89/x
  3. Step 3: Cross multiply
    422,857.27x = 634,273.62 × 156,611.89
  4. Step 4: Simplify right side
    422,857.27x = 99,334,790,405.34
  5. Step 5: Solve for x
    x = 99,334,790,405.34/422,857.27
  6. Step 6: Final answer
    x = 234,913.29

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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.