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Finding the Fourth Proportional to 413,843.77, 620,516.17 and 269,856.55

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Solution

The fourth proportional to 413,843.77, 620,516.17 and 269,856.55 is: 404,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,843.77 : 620,516.17 = 269,856.55 : x
  2. Step 2: Convert to fraction form
    413,843.77/620,516.17 = 269,856.55/x
  3. Step 3: Cross multiply
    413,843.77x = 620,516.17 × 269,856.55
  4. Step 4: Simplify right side
    413,843.77x = 167,450,352,855.41
  5. Step 5: Solve for x
    x = 167,450,352,855.41/413,843.77
  6. Step 6: Final answer
    x = 404,622.14

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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.