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Finding the Fourth Proportional to 259,866.56, 389,820 and 82,383.68

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Solution

The fourth proportional to 259,866.56, 389,820 and 82,383.68 is: 123,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866.56 : 389,820 = 82,383.68 : x
  2. Step 2: Convert to fraction form
    259,866.56/389,820 = 82,383.68/x
  3. Step 3: Cross multiply
    259,866.56x = 389,820 × 82,383.68
  4. Step 4: Simplify right side
    259,866.56x = 32,114,806,137.60
  5. Step 5: Solve for x
    x = 32,114,806,137.60/259,866.56
  6. Step 6: Final answer
    x = 123,581.91

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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.