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Finding the Fourth Proportional to 276,022.40, 414,033.60 and 274,272.80

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Solution

The fourth proportional to 276,022.40, 414,033.60 and 274,272.80 is: 411,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,022.40 : 414,033.60 = 274,272.80 : x
  2. Step 2: Convert to fraction form
    276,022.40/414,033.60 = 274,272.80/x
  3. Step 3: Cross multiply
    276,022.40x = 414,033.60 × 274,272.80
  4. Step 4: Simplify right side
    276,022.40x = 113,558,154,766.08
  5. Step 5: Solve for x
    x = 113,558,154,766.08/276,022.40
  6. Step 6: Final answer
    x = 411,409.20

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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.