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Finding the Fourth Proportional to 273,874.40, 410,120.40 and 218,578.40

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Solution

The fourth proportional to 273,874.40, 410,120.40 and 218,578.40 is: 327,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,874.40 : 410,120.40 = 218,578.40 : x
  2. Step 2: Convert to fraction form
    273,874.40/410,120.40 = 218,578.40/x
  3. Step 3: Cross multiply
    273,874.40x = 410,120.40 × 218,578.40
  4. Step 4: Simplify right side
    273,874.40x = 89,643,460,839.36
  5. Step 5: Solve for x
    x = 89,643,460,839.36/273,874.40
  6. Step 6: Final answer
    x = 327,315.96

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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.