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Finding the Fourth Proportional to 422,741.32, 634,134.28 and 107,200.96

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Solution

The fourth proportional to 422,741.32, 634,134.28 and 107,200.96 is: 160,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,741.32 : 634,134.28 = 107,200.96 : x
  2. Step 2: Convert to fraction form
    422,741.32/634,134.28 = 107,200.96/x
  3. Step 3: Cross multiply
    422,741.32x = 634,134.28 × 107,200.96
  4. Step 4: Simplify right side
    422,741.32x = 67,979,803,584.91
  5. Step 5: Solve for x
    x = 67,979,803,584.91/422,741.32
  6. Step 6: Final answer
    x = 160,807.09

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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.