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Finding the Fourth Proportional to 422,832, 634,248 and 107,290.56

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Solution

The fourth proportional to 422,832, 634,248 and 107,290.56 is: 160,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,832 : 634,248 = 107,290.56 : x
  2. Step 2: Convert to fraction form
    422,832/634,248 = 107,290.56/x
  3. Step 3: Cross multiply
    422,832x = 634,248 × 107,290.56
  4. Step 4: Simplify right side
    422,832x = 68,048,823,098.88
  5. Step 5: Solve for x
    x = 68,048,823,098.88/422,832
  6. Step 6: Final answer
    x = 160,935.84

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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.