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Finding the Fourth Proportional to 422,670.11, 634,102.38 and 138,369.83

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Solution

The fourth proportional to 422,670.11, 634,102.38 and 138,369.83 is: 207,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,670.11 : 634,102.38 = 138,369.83 : x
  2. Step 2: Convert to fraction form
    422,670.11/634,102.38 = 138,369.83/x
  3. Step 3: Cross multiply
    422,670.11x = 634,102.38 × 138,369.83
  4. Step 4: Simplify right side
    422,670.11x = 87,740,635,352.68
  5. Step 5: Solve for x
    x = 87,740,635,352.68/422,670.11
  6. Step 6: Final answer
    x = 207,586.57

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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.