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Finding the Fourth Proportional to 276,255.30, 414,341.94 and 76,554.87

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Solution

The fourth proportional to 276,255.30, 414,341.94 and 76,554.87 is: 114,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,255.30 : 414,341.94 = 76,554.87 : x
  2. Step 2: Convert to fraction form
    276,255.30/414,341.94 = 76,554.87/x
  3. Step 3: Cross multiply
    276,255.30x = 414,341.94 × 76,554.87
  4. Step 4: Simplify right side
    276,255.30x = 31,719,891,280.54
  5. Step 5: Solve for x
    x = 31,719,891,280.54/276,255.30
  6. Step 6: Final answer
    x = 114,820.93

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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.