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Finding the Fourth Proportional to 276,077.12, 414,124.90 and 76,380.80

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Solution

The fourth proportional to 276,077.12, 414,124.90 and 76,380.80 is: 114,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,077.12 : 414,124.90 = 76,380.80 : x
  2. Step 2: Convert to fraction form
    276,077.12/414,124.90 = 76,380.80/x
  3. Step 3: Cross multiply
    276,077.12x = 414,124.90 × 76,380.80
  4. Step 4: Simplify right side
    276,077.12x = 31,631,191,161.92
  5. Step 5: Solve for x
    x = 31,631,191,161.92/276,077.12
  6. Step 6: Final answer
    x = 114,573.75

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1.5x scale

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.