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Finding the Fourth Proportional to 263,943.60, 395,875.32 and 86,446.68

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Solution

The fourth proportional to 263,943.60, 395,875.32 and 86,446.68 is: 129,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,943.60 : 395,875.32 = 86,446.68 : x
  2. Step 2: Convert to fraction form
    263,943.60/395,875.32 = 86,446.68/x
  3. Step 3: Cross multiply
    263,943.60x = 395,875.32 × 86,446.68
  4. Step 4: Simplify right side
    263,943.60x = 34,222,107,107.94
  5. Step 5: Solve for x
    x = 34,222,107,107.94/263,943.60
  6. Step 6: Final answer
    x = 129,656.89

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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.