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Finding the Fourth Proportional to 276,258.40, 414,375.42 and 86,714.32

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Solution

The fourth proportional to 276,258.40, 414,375.42 and 86,714.32 is: 130,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,258.40 : 414,375.42 = 86,714.32 : x
  2. Step 2: Convert to fraction form
    276,258.40/414,375.42 = 86,714.32/x
  3. Step 3: Cross multiply
    276,258.40x = 414,375.42 × 86,714.32
  4. Step 4: Simplify right side
    276,258.40x = 35,932,282,770.01
  5. Step 5: Solve for x
    x = 35,932,282,770.01/276,258.40
  6. Step 6: Final answer
    x = 130,067.66

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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.