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Finding the Fourth Proportional to 389,857, 538,103.46 and 254,229.16

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Solution

The fourth proportional to 389,857, 538,103.46 and 254,229.16 is: 350,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,857 : 538,103.46 = 254,229.16 : x
  2. Step 2: Convert to fraction form
    389,857/538,103.46 = 254,229.16/x
  3. Step 3: Cross multiply
    389,857x = 538,103.46 × 254,229.16
  4. Step 4: Simplify right side
    389,857x = 136,801,590,628.89
  5. Step 5: Solve for x
    x = 136,801,590,628.89/389,857
  6. Step 6: Final answer
    x = 350,901.97

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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.