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Finding the Fourth Proportional to 275,905.32, 380,748.96 and 161,262.78

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Solution

The fourth proportional to 275,905.32, 380,748.96 and 161,262.78 is: 222,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905.32 : 380,748.96 = 161,262.78 : x
  2. Step 2: Convert to fraction form
    275,905.32/380,748.96 = 161,262.78/x
  3. Step 3: Cross multiply
    275,905.32x = 380,748.96 × 161,262.78
  4. Step 4: Simplify right side
    275,905.32x = 61,400,635,771.71
  5. Step 5: Solve for x
    x = 61,400,635,771.71/275,905.32
  6. Step 6: Final answer
    x = 222,542.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.