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Finding the Fourth Proportional to 276,098.20, 414,147.30 and 242,855.80

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Solution

The fourth proportional to 276,098.20, 414,147.30 and 242,855.80 is: 364,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,098.20 : 414,147.30 = 242,855.80 : x
  2. Step 2: Convert to fraction form
    276,098.20/414,147.30 = 242,855.80/x
  3. Step 3: Cross multiply
    276,098.20x = 414,147.30 × 242,855.80
  4. Step 4: Simplify right side
    276,098.20x = 100,578,073,859.34
  5. Step 5: Solve for x
    x = 100,578,073,859.34/276,098.20
  6. Step 6: Final answer
    x = 364,283.70

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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.