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Finding the Fourth Proportional to 257,715.42, 355,659.26 and 160,976.55

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Solution

The fourth proportional to 257,715.42, 355,659.26 and 160,976.55 is: 222,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,715.42 : 355,659.26 = 160,976.55 : x
  2. Step 2: Convert to fraction form
    257,715.42/355,659.26 = 160,976.55/x
  3. Step 3: Cross multiply
    257,715.42x = 355,659.26 × 160,976.55
  4. Step 4: Simplify right side
    257,715.42x = 57,252,801,179.19
  5. Step 5: Solve for x
    x = 57,252,801,179.19/257,715.42
  6. Step 6: Final answer
    x = 222,155.13

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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.