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Finding the Fourth Proportional to 279,580.08, 419,020.16 and 220,181.16

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Solution

The fourth proportional to 279,580.08, 419,020.16 and 220,181.16 is: 329,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,580.08 : 419,020.16 = 220,181.16 : x
  2. Step 2: Convert to fraction form
    279,580.08/419,020.16 = 220,181.16/x
  3. Step 3: Cross multiply
    279,580.08x = 419,020.16 × 220,181.16
  4. Step 4: Simplify right side
    279,580.08x = 92,260,343,791.28
  5. Step 5: Solve for x
    x = 92,260,343,791.28/279,580.08
  6. Step 6: Final answer
    x = 329,996.13

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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.