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Finding the Fourth Proportional to 263,967.38, 395,943.31 and 64,284.86

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Solution

The fourth proportional to 263,967.38, 395,943.31 and 64,284.86 is: 96,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,967.38 : 395,943.31 = 64,284.86 : x
  2. Step 2: Convert to fraction form
    263,967.38/395,943.31 = 64,284.86/x
  3. Step 3: Cross multiply
    263,967.38x = 395,943.31 × 64,284.86
  4. Step 4: Simplify right side
    263,967.38x = 25,453,160,251.29
  5. Step 5: Solve for x
    x = 25,453,160,251.29/263,967.38
  6. Step 6: Final answer
    x = 96,425.40

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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.