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Finding the Fourth Proportional to 279,940.50, 422,010.32 and 275,741.46

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Solution

The fourth proportional to 279,940.50, 422,010.32 and 275,741.46 is: 415,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,940.50 : 422,010.32 = 275,741.46 : x
  2. Step 2: Convert to fraction form
    279,940.50/422,010.32 = 275,741.46/x
  3. Step 3: Cross multiply
    279,940.50x = 422,010.32 × 275,741.46
  4. Step 4: Simplify right side
    279,940.50x = 116,365,740,393.16
  5. Step 5: Solve for x
    x = 116,365,740,393.16/279,940.50
  6. Step 6: Final answer
    x = 415,680.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.