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Finding the Fourth Proportional to 271,856.70, 407,785.05 and 209,648.70

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Solution

The fourth proportional to 271,856.70, 407,785.05 and 209,648.70 is: 314,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.70 : 407,785.05 = 209,648.70 : x
  2. Step 2: Convert to fraction form
    271,856.70/407,785.05 = 209,648.70/x
  3. Step 3: Cross multiply
    271,856.70x = 407,785.05 × 209,648.70
  4. Step 4: Simplify right side
    271,856.70x = 85,491,605,611.94
  5. Step 5: Solve for x
    x = 85,491,605,611.94/271,856.70
  6. Step 6: Final answer
    x = 314,473.05

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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.