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Finding the Fourth Proportional to 276,281.38, 414,422.09 and 76,601.77

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Solution

The fourth proportional to 276,281.38, 414,422.09 and 76,601.77 is: 114,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,281.38 : 414,422.09 = 76,601.77 : x
  2. Step 2: Convert to fraction form
    276,281.38/414,422.09 = 76,601.77/x
  3. Step 3: Cross multiply
    276,281.38x = 414,422.09 × 76,601.77
  4. Step 4: Simplify right side
    276,281.38x = 31,745,464,202.04
  5. Step 5: Solve for x
    x = 31,745,464,202.04/276,281.38
  6. Step 6: Final answer
    x = 114,902.66

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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.