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Finding the Fourth Proportional to 273,465.23, 409,481.80 and 219,872.39

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Solution

The fourth proportional to 273,465.23, 409,481.80 and 219,872.39 is: 329,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,465.23 : 409,481.80 = 219,872.39 : x
  2. Step 2: Convert to fraction form
    273,465.23/409,481.80 = 219,872.39/x
  3. Step 3: Cross multiply
    273,465.23x = 409,481.80 × 219,872.39
  4. Step 4: Simplify right side
    273,465.23x = 90,033,739,430.41
  5. Step 5: Solve for x
    x = 90,033,739,430.41/273,465.23
  6. Step 6: Final answer
    x = 329,232.86

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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.