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Finding the Fourth Proportional to 381,219.64, 572,015.76 and 269,617.03

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Solution

The fourth proportional to 381,219.64, 572,015.76 and 269,617.03 is: 404,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,219.64 : 572,015.76 = 269,617.03 : x
  2. Step 2: Convert to fraction form
    381,219.64/572,015.76 = 269,617.03/x
  3. Step 3: Cross multiply
    381,219.64x = 572,015.76 × 269,617.03
  4. Step 4: Simplify right side
    381,219.64x = 154,225,190,324.39
  5. Step 5: Solve for x
    x = 154,225,190,324.39/381,219.64
  6. Step 6: Final answer
    x = 404,557.31

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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.