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Finding the Fourth Proportional to 381,006.92, 571,541.52 and 191,369.76

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Solution

The fourth proportional to 381,006.92, 571,541.52 and 191,369.76 is: 287,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.92 : 571,541.52 = 191,369.76 : x
  2. Step 2: Convert to fraction form
    381,006.92/571,541.52 = 191,369.76/x
  3. Step 3: Cross multiply
    381,006.92x = 571,541.52 × 191,369.76
  4. Step 4: Simplify right side
    381,006.92x = 109,375,763,512.44
  5. Step 5: Solve for x
    x = 109,375,763,512.44/381,006.92
  6. Step 6: Final answer
    x = 287,070.28

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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.