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Finding the Fourth Proportional to 259,706.00, 389,628.12 and 82,216.64

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Solution

The fourth proportional to 259,706.00, 389,628.12 and 82,216.64 is: 123,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,706.00 : 389,628.12 = 82,216.64 : x
  2. Step 2: Convert to fraction form
    259,706.00/389,628.12 = 82,216.64/x
  3. Step 3: Cross multiply
    259,706.00x = 389,628.12 × 82,216.64
  4. Step 4: Simplify right side
    259,706.00x = 32,033,912,927.78
  5. Step 5: Solve for x
    x = 32,033,912,927.78/259,706.00
  6. Step 6: Final answer
    x = 123,346.84

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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.