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Finding the Fourth Proportional to 273,516.17, 409,702.05 and 219,917.92

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Solution

The fourth proportional to 273,516.17, 409,702.05 and 219,917.92 is: 329,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,516.17 : 409,702.05 = 219,917.92 : x
  2. Step 2: Convert to fraction form
    273,516.17/409,702.05 = 219,917.92/x
  3. Step 3: Cross multiply
    273,516.17x = 409,702.05 × 219,917.92
  4. Step 4: Simplify right side
    273,516.17x = 90,100,819,507.64
  5. Step 5: Solve for x
    x = 90,100,819,507.64/273,516.17
  6. Step 6: Final answer
    x = 329,416.79

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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.