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Finding the Fourth Proportional to 257,853.25, 355,843.62 and 144,684.37

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Solution

The fourth proportional to 257,853.25, 355,843.62 and 144,684.37 is: 199,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.25 : 355,843.62 = 144,684.37 : x
  2. Step 2: Convert to fraction form
    257,853.25/355,843.62 = 144,684.37/x
  3. Step 3: Cross multiply
    257,853.25x = 355,843.62 × 144,684.37
  4. Step 4: Simplify right side
    257,853.25x = 51,485,007,475.58
  5. Step 5: Solve for x
    x = 51,485,007,475.58/257,853.25
  6. Step 6: Final answer
    x = 199,667.87

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1.5x scale

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.