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Finding the Fourth Proportional to 422,818.98, 634,334.32 and 123,299.60

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Solution

The fourth proportional to 422,818.98, 634,334.32 and 123,299.60 is: 184,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,818.98 : 634,334.32 = 123,299.60 : x
  2. Step 2: Convert to fraction form
    422,818.98/634,334.32 = 123,299.60/x
  3. Step 3: Cross multiply
    422,818.98x = 634,334.32 × 123,299.60
  4. Step 4: Simplify right side
    422,818.98x = 78,213,165,400.54
  5. Step 5: Solve for x
    x = 78,213,165,400.54/422,818.98
  6. Step 6: Final answer
    x = 184,980.26

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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.