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Finding the Fourth Proportional to 276,309.60, 414,487.80 and 76,629.96

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Solution

The fourth proportional to 276,309.60, 414,487.80 and 76,629.96 is: 114,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,309.60 : 414,487.80 = 76,629.96 : x
  2. Step 2: Convert to fraction form
    276,309.60/414,487.80 = 76,629.96/x
  3. Step 3: Cross multiply
    276,309.60x = 414,487.80 × 76,629.96
  4. Step 4: Simplify right side
    276,309.60x = 31,762,183,534.49
  5. Step 5: Solve for x
    x = 31,762,183,534.49/276,309.60
  6. Step 6: Final answer
    x = 114,951.43

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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.