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Finding the Fourth Proportional to 257,481.47, 355,324.37 and 142,759.76

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Solution

The fourth proportional to 257,481.47, 355,324.37 and 142,759.76 is: 197,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,481.47 : 355,324.37 = 142,759.76 : x
  2. Step 2: Convert to fraction form
    257,481.47/355,324.37 = 142,759.76/x
  3. Step 3: Cross multiply
    257,481.47x = 355,324.37 × 142,759.76
  4. Step 4: Simplify right side
    257,481.47x = 50,726,019,292.93
  5. Step 5: Solve for x
    x = 50,726,019,292.93/257,481.47
  6. Step 6: Final answer
    x = 197,008.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.