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Finding the Fourth Proportional to 422,740.32, 634,132.78 and 107,199.96

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Solution

The fourth proportional to 422,740.32, 634,132.78 and 107,199.96 is: 160,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,740.32 : 634,132.78 = 107,199.96 : x
  2. Step 2: Convert to fraction form
    422,740.32/634,132.78 = 107,199.96/x
  3. Step 3: Cross multiply
    422,740.32x = 634,132.78 × 107,199.96
  4. Step 4: Simplify right side
    422,740.32x = 67,979,008,650.69
  5. Step 5: Solve for x
    x = 67,979,008,650.69/422,740.32
  6. Step 6: Final answer
    x = 160,805.59

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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.