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Finding the Fourth Proportional to 276,308.60, 414,486.30 and 76,628.96

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Solution

The fourth proportional to 276,308.60, 414,486.30 and 76,628.96 is: 114,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,308.60 : 414,486.30 = 76,628.96 : x
  2. Step 2: Convert to fraction form
    276,308.60/414,486.30 = 76,628.96/x
  3. Step 3: Cross multiply
    276,308.60x = 414,486.30 × 76,628.96
  4. Step 4: Simplify right side
    276,308.60x = 31,761,654,103.25
  5. Step 5: Solve for x
    x = 31,761,654,103.25/276,308.60
  6. Step 6: Final answer
    x = 114,949.93

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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.