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Finding the Fourth Proportional to 257,791.74, 355,978.59 and 161,160.78

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Solution

The fourth proportional to 257,791.74, 355,978.59 and 161,160.78 is: 222,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,791.74 : 355,978.59 = 161,160.78 : x
  2. Step 2: Convert to fraction form
    257,791.74/355,978.59 = 161,160.78/x
  3. Step 3: Cross multiply
    257,791.74x = 355,978.59 × 161,160.78
  4. Step 4: Simplify right side
    257,791.74x = 57,369,787,227.70
  5. Step 5: Solve for x
    x = 57,369,787,227.70/257,791.74
  6. Step 6: Final answer
    x = 222,543.16

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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.