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Finding the Fourth Proportional to 422,974.20, 634,607.10 and 186,486.60

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Solution

The fourth proportional to 422,974.20, 634,607.10 and 186,486.60 is: 279,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,974.20 : 634,607.10 = 186,486.60 : x
  2. Step 2: Convert to fraction form
    422,974.20/634,607.10 = 186,486.60/x
  3. Step 3: Cross multiply
    422,974.20x = 634,607.10 × 186,486.60
  4. Step 4: Simplify right side
    422,974.20x = 118,345,720,414.86
  5. Step 5: Solve for x
    x = 118,345,720,414.86/422,974.20
  6. Step 6: Final answer
    x = 279,794.18

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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.