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Finding the Fourth Proportional to 274,969.40, 411,922.07 and 154,660.86

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Solution

The fourth proportional to 274,969.40, 411,922.07 and 154,660.86 is: 231,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,969.40 : 411,922.07 = 154,660.86 : x
  2. Step 2: Convert to fraction form
    274,969.40/411,922.07 = 154,660.86/x
  3. Step 3: Cross multiply
    274,969.40x = 411,922.07 × 154,660.86
  4. Step 4: Simplify right side
    274,969.40x = 63,708,221,405.85
  5. Step 5: Solve for x
    x = 63,708,221,405.85/274,969.40
  6. Step 6: Final answer
    x = 231,692.04

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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.