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Finding the Fourth Proportional to 276,365.70, 414,502.18 and 76,706.37

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Solution

The fourth proportional to 276,365.70, 414,502.18 and 76,706.37 is: 115,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,365.70 : 414,502.18 = 76,706.37 : x
  2. Step 2: Convert to fraction form
    276,365.70/414,502.18 = 76,706.37/x
  3. Step 3: Cross multiply
    276,365.70x = 414,502.18 × 76,706.37
  4. Step 4: Simplify right side
    276,365.70x = 31,794,957,393.12
  5. Step 5: Solve for x
    x = 31,794,957,393.12/276,365.70
  6. Step 6: Final answer
    x = 115,046.68

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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.