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Finding the Fourth Proportional to 312,837.36, 469,251.16 and 76,179.64

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Solution

The fourth proportional to 312,837.36, 469,251.16 and 76,179.64 is: 114,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,837.36 : 469,251.16 = 76,179.64 : x
  2. Step 2: Convert to fraction form
    312,837.36/469,251.16 = 76,179.64/x
  3. Step 3: Cross multiply
    312,837.36x = 469,251.16 × 76,179.64
  4. Step 4: Simplify right side
    312,837.36x = 35,747,384,438.38
  5. Step 5: Solve for x
    x = 35,747,384,438.38/312,837.36
  6. Step 6: Final answer
    x = 114,268.27

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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.