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Finding the Fourth Proportional to 257,716.33, 355,660.50 and 160,977.46

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Solution

The fourth proportional to 257,716.33, 355,660.50 and 160,977.46 is: 222,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716.33 : 355,660.50 = 160,977.46 : x
  2. Step 2: Convert to fraction form
    257,716.33/355,660.50 = 160,977.46/x
  3. Step 3: Cross multiply
    257,716.33x = 355,660.50 × 160,977.46
  4. Step 4: Simplify right side
    257,716.33x = 57,253,322,536.47
  5. Step 5: Solve for x
    x = 57,253,322,536.47/257,716.33
  6. Step 6: Final answer
    x = 222,156.37

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Why These Related Problems?

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