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Finding the Fourth Proportional to 259,655.70, 389,410.65 and 82,217.10

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Solution

The fourth proportional to 259,655.70, 389,410.65 and 82,217.10 is: 123,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,655.70 : 389,410.65 = 82,217.10 : x
  2. Step 2: Convert to fraction form
    259,655.70/389,410.65 = 82,217.10/x
  3. Step 3: Cross multiply
    259,655.70x = 389,410.65 × 82,217.10
  4. Step 4: Simplify right side
    259,655.70x = 32,016,214,352.12
  5. Step 5: Solve for x
    x = 32,016,214,352.12/259,655.70
  6. Step 6: Final answer
    x = 123,302.57

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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.