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Finding the Fourth Proportional to 422,999.25, 634,665.03 and 186,175.91

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Solution

The fourth proportional to 422,999.25, 634,665.03 and 186,175.91 is: 279,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,999.25 : 634,665.03 = 186,175.91 : x
  2. Step 2: Convert to fraction form
    422,999.25/634,665.03 = 186,175.91/x
  3. Step 3: Cross multiply
    422,999.25x = 634,665.03 × 186,175.91
  4. Step 4: Simplify right side
    422,999.25x = 118,159,335,401.22
  5. Step 5: Solve for x
    x = 118,159,335,401.22/422,999.25
  6. Step 6: Final answer
    x = 279,336.99

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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.