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Finding the Fourth Proportional to 259,629.40, 389,616.90 and 147,309.40

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Solution

The fourth proportional to 259,629.40, 389,616.90 and 147,309.40 is: 221,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,629.40 : 389,616.90 = 147,309.40 : x
  2. Step 2: Convert to fraction form
    259,629.40/389,616.90 = 147,309.40/x
  3. Step 3: Cross multiply
    259,629.40x = 389,616.90 × 147,309.40
  4. Step 4: Simplify right side
    259,629.40x = 57,394,231,768.86
  5. Step 5: Solve for x
    x = 57,394,231,768.86/259,629.40
  6. Step 6: Final answer
    x = 221,062.14

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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.