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Finding the Fourth Proportional to 276,077.46, 414,125.46 and 76,381.14

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Solution

The fourth proportional to 276,077.46, 414,125.46 and 76,381.14 is: 114,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,077.46 : 414,125.46 = 76,381.14 : x
  2. Step 2: Convert to fraction form
    276,077.46/414,125.46 = 76,381.14/x
  3. Step 3: Cross multiply
    276,077.46x = 414,125.46 × 76,381.14
  4. Step 4: Simplify right side
    276,077.46x = 31,631,376,290.79
  5. Step 5: Solve for x
    x = 31,631,376,290.79/276,077.46
  6. Step 6: Final answer
    x = 114,574.28

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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.