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Finding the Fourth Proportional to 276,080.21, 414,129.59 and 76,383.89

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Solution

The fourth proportional to 276,080.21, 414,129.59 and 76,383.89 is: 114,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,080.21 : 414,129.59 = 76,383.89 : x
  2. Step 2: Convert to fraction form
    276,080.21/414,129.59 = 76,383.89/x
  3. Step 3: Cross multiply
    276,080.21x = 414,129.59 × 76,383.89
  4. Step 4: Simplify right side
    276,080.21x = 31,632,829,048.31
  5. Step 5: Solve for x
    x = 31,632,829,048.31/276,080.21
  6. Step 6: Final answer
    x = 114,578.40

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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.