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Finding the Fourth Proportional to 422,847.60, 634,268.52 and 102,995.64

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Solution

The fourth proportional to 422,847.60, 634,268.52 and 102,995.64 is: 154,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,847.60 : 634,268.52 = 102,995.64 : x
  2. Step 2: Convert to fraction form
    422,847.60/634,268.52 = 102,995.64/x
  3. Step 3: Cross multiply
    422,847.60x = 634,268.52 × 102,995.64
  4. Step 4: Simplify right side
    422,847.60x = 65,326,892,149.25
  5. Step 5: Solve for x
    x = 65,326,892,149.25/422,847.60
  6. Step 6: Final answer
    x = 154,492.76

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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.