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Finding the Fourth Proportional to 259,858.60, 389,753.27 and 82,383.55

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Solution

The fourth proportional to 259,858.60, 389,753.27 and 82,383.55 is: 123,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,858.60 : 389,753.27 = 82,383.55 : x
  2. Step 2: Convert to fraction form
    259,858.60/389,753.27 = 82,383.55/x
  3. Step 3: Cross multiply
    259,858.60x = 389,753.27 × 82,383.55
  4. Step 4: Simplify right side
    259,858.60x = 32,109,258,006.71
  5. Step 5: Solve for x
    x = 32,109,258,006.71/259,858.60
  6. Step 6: Final answer
    x = 123,564.35

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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.