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Finding the Fourth Proportional to 276,229.88, 414,343.62 and 76,549.70

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Solution

The fourth proportional to 276,229.88, 414,343.62 and 76,549.70 is: 114,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,229.88 : 414,343.62 = 76,549.70 : x
  2. Step 2: Convert to fraction form
    276,229.88/414,343.62 = 76,549.70/x
  3. Step 3: Cross multiply
    276,229.88x = 414,343.62 × 76,549.70
  4. Step 4: Simplify right side
    276,229.88x = 31,717,877,736.20
  5. Step 5: Solve for x
    x = 31,717,877,736.20/276,229.88
  6. Step 6: Final answer
    x = 114,824.21

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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.