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Finding the Fourth Proportional to 422,906,964.80, 634,391,021.32 and 177,016,299.98

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Solution

The fourth proportional to 422,906,964.80, 634,391,021.32 and 177,016,299.98 is: 265,537,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,906,964.80 : 634,391,021.32 = 177,016,299.98 : x
  2. Step 2: Convert to fraction form
    422,906,964.80/634,391,021.32 = 177,016,299.98/x
  3. Step 3: Cross multiply
    422,906,964.80x = 634,391,021.32 × 177,016,299.98
  4. Step 4: Simplify right side
    422,906,964.80x = 112,297,551,334,599,696
  5. Step 5: Solve for x
    x = 112,297,551,334,599,696/422,906,964.80
  6. Step 6: Final answer
    x = 265,537,247.39

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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.