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Finding the Fourth Proportional to 257,716.58, 355,660.85 and 160,977.71

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Solution

The fourth proportional to 257,716.58, 355,660.85 and 160,977.71 is: 222,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716.58 : 355,660.85 = 160,977.71 : x
  2. Step 2: Convert to fraction form
    257,716.58/355,660.85 = 160,977.71/x
  3. Step 3: Cross multiply
    257,716.58x = 355,660.85 × 160,977.71
  4. Step 4: Simplify right side
    257,716.58x = 57,253,466,988.91
  5. Step 5: Solve for x
    x = 57,253,466,988.91/257,716.58
  6. Step 6: Final answer
    x = 222,156.71

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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.