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Finding the Fourth Proportional to 259,801.20, 389,628.90 and 82,362.60

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Solution

The fourth proportional to 259,801.20, 389,628.90 and 82,362.60 is: 123,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,801.20 : 389,628.90 = 82,362.60 : x
  2. Step 2: Convert to fraction form
    259,801.20/389,628.90 = 82,362.60/x
  3. Step 3: Cross multiply
    259,801.20x = 389,628.90 × 82,362.60
  4. Step 4: Simplify right side
    259,801.20x = 32,090,849,239.14
  5. Step 5: Solve for x
    x = 32,090,849,239.14/259,801.20
  6. Step 6: Final answer
    x = 123,520.79

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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.