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Finding the Fourth Proportional to 392,145, 588,305 and 142,827

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Solution

The fourth proportional to 392,145, 588,305 and 142,827 is: 214,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,145 : 588,305 = 142,827 : x
  2. Step 2: Convert to fraction form
    392,145/588,305 = 142,827/x
  3. Step 3: Cross multiply
    392,145x = 588,305 × 142,827
  4. Step 4: Simplify right side
    392,145x = 84,025,838,235
  5. Step 5: Solve for x
    x = 84,025,838,235/392,145
  6. Step 6: Final answer
    x = 214,272.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.