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Finding the Fourth Proportional to 422,917.26, 634,469.32 and 209,801.10

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Solution

The fourth proportional to 422,917.26, 634,469.32 and 209,801.10 is: 314,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,917.26 : 634,469.32 = 209,801.10 : x
  2. Step 2: Convert to fraction form
    422,917.26/634,469.32 = 209,801.10/x
  3. Step 3: Cross multiply
    422,917.26x = 634,469.32 × 209,801.10
  4. Step 4: Simplify right side
    422,917.26x = 133,112,361,252.25
  5. Step 5: Solve for x
    x = 133,112,361,252.25/422,917.26
  6. Step 6: Final answer
    x = 314,748.00

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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.