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Finding the Fourth Proportional to 276,622.80, 414,934.20 and 89,634.30

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Solution

The fourth proportional to 276,622.80, 414,934.20 and 89,634.30 is: 134,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,622.80 : 414,934.20 = 89,634.30 : x
  2. Step 2: Convert to fraction form
    276,622.80/414,934.20 = 89,634.30/x
  3. Step 3: Cross multiply
    276,622.80x = 414,934.20 × 89,634.30
  4. Step 4: Simplify right side
    276,622.80x = 37,192,336,563.06
  5. Step 5: Solve for x
    x = 37,192,336,563.06/276,622.80
  6. Step 6: Final answer
    x = 134,451.45

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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.