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Finding the Fourth Proportional to 381,604.86, 572,419.44 and 191,961.63

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Solution

The fourth proportional to 381,604.86, 572,419.44 and 191,961.63 is: 287,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,604.86 : 572,419.44 = 191,961.63 : x
  2. Step 2: Convert to fraction form
    381,604.86/572,419.44 = 191,961.63/x
  3. Step 3: Cross multiply
    381,604.86x = 572,419.44 × 191,961.63
  4. Step 4: Simplify right side
    381,604.86x = 109,882,568,746.09
  5. Step 5: Solve for x
    x = 109,882,568,746.09/381,604.86
  6. Step 6: Final answer
    x = 287,948.56

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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.