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Finding the Fourth Proportional to 276,255.85, 414,386.85 and 76,577.97

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Solution

The fourth proportional to 276,255.85, 414,386.85 and 76,577.97 is: 114,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,255.85 : 414,386.85 = 76,577.97 : x
  2. Step 2: Convert to fraction form
    276,255.85/414,386.85 = 76,577.97/x
  3. Step 3: Cross multiply
    276,255.85x = 414,386.85 × 76,577.97
  4. Step 4: Simplify right side
    276,255.85x = 31,732,903,767.69
  5. Step 5: Solve for x
    x = 31,732,903,767.69/276,255.85
  6. Step 6: Final answer
    x = 114,867.81

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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.