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Finding the Fourth Proportional to 276,077.75, 414,125.84 and 76,381.43

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Solution

The fourth proportional to 276,077.75, 414,125.84 and 76,381.43 is: 114,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,077.75 : 414,125.84 = 76,381.43 : x
  2. Step 2: Convert to fraction form
    276,077.75/414,125.84 = 76,381.43/x
  3. Step 3: Cross multiply
    276,077.75x = 414,125.84 × 76,381.43
  4. Step 4: Simplify right side
    276,077.75x = 31,631,521,406.61
  5. Step 5: Solve for x
    x = 31,631,521,406.61/276,077.75
  6. Step 6: Final answer
    x = 114,574.69

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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.