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Finding the Fourth Proportional to 276,079.80, 414,128.90 and 76,383.47

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Solution

The fourth proportional to 276,079.80, 414,128.90 and 76,383.47 is: 114,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079.80 : 414,128.90 = 76,383.47 : x
  2. Step 2: Convert to fraction form
    276,079.80/414,128.90 = 76,383.47/x
  3. Step 3: Cross multiply
    276,079.80x = 414,128.90 × 76,383.47
  4. Step 4: Simplify right side
    276,079.80x = 31,632,599,956.72
  5. Step 5: Solve for x
    x = 31,632,599,956.72/276,079.80
  6. Step 6: Final answer
    x = 114,577.74

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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.