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Finding the Fourth Proportional to 413,626.30, 620,439.46 and 271,908.70

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Solution

The fourth proportional to 413,626.30, 620,439.46 and 271,908.70 is: 407,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,626.30 : 620,439.46 = 271,908.70 : x
  2. Step 2: Convert to fraction form
    413,626.30/620,439.46 = 271,908.70/x
  3. Step 3: Cross multiply
    413,626.30x = 620,439.46 × 271,908.70
  4. Step 4: Simplify right side
    413,626.30x = 168,702,886,997.30
  5. Step 5: Solve for x
    x = 168,702,886,997.30/413,626.30
  6. Step 6: Final answer
    x = 407,863.06

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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.