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Finding the Fourth Proportional to 381,511.24, 526,363.72 and 220,345

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Solution

The fourth proportional to 381,511.24, 526,363.72 and 220,345 is: 304,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,511.24 : 526,363.72 = 220,345 : x
  2. Step 2: Convert to fraction form
    381,511.24/526,363.72 = 220,345/x
  3. Step 3: Cross multiply
    381,511.24x = 526,363.72 × 220,345
  4. Step 4: Simplify right side
    381,511.24x = 115,981,613,883.40
  5. Step 5: Solve for x
    x = 115,981,613,883.40/381,511.24
  6. Step 6: Final answer
    x = 304,005.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.