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Finding the Fourth Proportional to 381,980.49, 572,183.42 and 223,729.17

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Solution

The fourth proportional to 381,980.49, 572,183.42 and 223,729.17 is: 335,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.49 : 572,183.42 = 223,729.17 : x
  2. Step 2: Convert to fraction form
    381,980.49/572,183.42 = 223,729.17/x
  3. Step 3: Cross multiply
    381,980.49x = 572,183.42 × 223,729.17
  4. Step 4: Simplify right side
    381,980.49x = 128,014,120,525.72
  5. Step 5: Solve for x
    x = 128,014,120,525.72/381,980.49
  6. Step 6: Final answer
    x = 335,132.62

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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.