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Finding the Fourth Proportional to 381,218.64, 572,014.26 and 269,616.03

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Solution

The fourth proportional to 381,218.64, 572,014.26 and 269,616.03 is: 404,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,218.64 : 572,014.26 = 269,616.03 : x
  2. Step 2: Convert to fraction form
    381,218.64/572,014.26 = 269,616.03/x
  3. Step 3: Cross multiply
    381,218.64x = 572,014.26 × 269,616.03
  4. Step 4: Simplify right side
    381,218.64x = 154,224,213,884.59
  5. Step 5: Solve for x
    x = 154,224,213,884.59/381,218.64
  6. Step 6: Final answer
    x = 404,555.81

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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.