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Finding the Fourth Proportional to 422,912.46, 634,302.74 and 123,361.68

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Solution

The fourth proportional to 422,912.46, 634,302.74 and 123,361.68 is: 185,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,912.46 : 634,302.74 = 123,361.68 : x
  2. Step 2: Convert to fraction form
    422,912.46/634,302.74 = 123,361.68/x
  3. Step 3: Cross multiply
    422,912.46x = 634,302.74 × 123,361.68
  4. Step 4: Simplify right side
    422,912.46x = 78,248,651,635.00
  5. Step 5: Solve for x
    x = 78,248,651,635.00/422,912.46
  6. Step 6: Final answer
    x = 185,023.28

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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.