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Finding the Fourth Proportional to 392,730.73, 541,968.39 and 213,882.73

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Solution

The fourth proportional to 392,730.73, 541,968.39 and 213,882.73 is: 295,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,730.73 : 541,968.39 = 213,882.73 : x
  2. Step 2: Convert to fraction form
    392,730.73/541,968.39 = 213,882.73/x
  3. Step 3: Cross multiply
    392,730.73x = 541,968.39 × 213,882.73
  4. Step 4: Simplify right side
    392,730.73x = 115,917,678,826.91
  5. Step 5: Solve for x
    x = 115,917,678,826.91/392,730.73
  6. Step 6: Final answer
    x = 295,158.16

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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.