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Finding the Fourth Proportional to 422,998.75, 634,664.27 and 186,175.40

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Solution

The fourth proportional to 422,998.75, 634,664.27 and 186,175.40 is: 279,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,998.75 : 634,664.27 = 186,175.40 : x
  2. Step 2: Convert to fraction form
    422,998.75/634,664.27 = 186,175.40/x
  3. Step 3: Cross multiply
    422,998.75x = 634,664.27 × 186,175.40
  4. Step 4: Simplify right side
    422,998.75x = 118,158,876,385.06
  5. Step 5: Solve for x
    x = 118,158,876,385.06/422,998.75
  6. Step 6: Final answer
    x = 279,336.23

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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.