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Finding the Fourth Proportional to 276,799.60, 414,940.20 and 216,794.80

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Solution

The fourth proportional to 276,799.60, 414,940.20 and 216,794.80 is: 324,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,799.60 : 414,940.20 = 216,794.80 : x
  2. Step 2: Convert to fraction form
    276,799.60/414,940.20 = 216,794.80/x
  3. Step 3: Cross multiply
    276,799.60x = 414,940.20 × 216,794.80
  4. Step 4: Simplify right side
    276,799.60x = 89,956,877,670.96
  5. Step 5: Solve for x
    x = 89,956,877,670.96/276,799.60
  6. Step 6: Final answer
    x = 324,989.19

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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.