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Finding the Fourth Proportional to 279,534.48, 419,331.24 and 161,203.20

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Solution

The fourth proportional to 279,534.48, 419,331.24 and 161,203.20 is: 241,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,534.48 : 419,331.24 = 161,203.20 : x
  2. Step 2: Convert to fraction form
    279,534.48/419,331.24 = 161,203.20/x
  3. Step 3: Cross multiply
    279,534.48x = 419,331.24 × 161,203.20
  4. Step 4: Simplify right side
    279,534.48x = 67,597,537,747.97
  5. Step 5: Solve for x
    x = 67,597,537,747.97/279,534.48
  6. Step 6: Final answer
    x = 241,821.82

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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.