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Finding the Fourth Proportional to 259,699.10, 389,560.19 and 82,219.19

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Solution

The fourth proportional to 259,699.10, 389,560.19 and 82,219.19 is: 123,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,699.10 : 389,560.19 = 82,219.19 : x
  2. Step 2: Convert to fraction form
    259,699.10/389,560.19 = 82,219.19/x
  3. Step 3: Cross multiply
    259,699.10x = 389,560.19 × 82,219.19
  4. Step 4: Simplify right side
    259,699.10x = 32,029,320,919.15
  5. Step 5: Solve for x
    x = 32,029,320,919.15/259,699.10
  6. Step 6: Final answer
    x = 123,332.43

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1.5x scale

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.