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Finding the Fourth Proportional to 276,091.80, 414,137.70 and 271,426.20

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Solution

The fourth proportional to 276,091.80, 414,137.70 and 271,426.20 is: 407,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,091.80 : 414,137.70 = 271,426.20 : x
  2. Step 2: Convert to fraction form
    276,091.80/414,137.70 = 271,426.20/x
  3. Step 3: Cross multiply
    276,091.80x = 414,137.70 × 271,426.20
  4. Step 4: Simplify right side
    276,091.80x = 112,407,822,187.74
  5. Step 5: Solve for x
    x = 112,407,822,187.74/276,091.80
  6. Step 6: Final answer
    x = 407,139.30

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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.