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Finding the Fourth Proportional to 392,139, 541,152.30 and 213,291

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Solution

The fourth proportional to 392,139, 541,152.30 and 213,291 is: 294,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,139 : 541,152.30 = 213,291 : x
  2. Step 2: Convert to fraction form
    392,139/541,152.30 = 213,291/x
  3. Step 3: Cross multiply
    392,139x = 541,152.30 × 213,291
  4. Step 4: Simplify right side
    392,139x = 115,422,915,219.30
  5. Step 5: Solve for x
    x = 115,422,915,219.30/392,139
  6. Step 6: Final answer
    x = 294,341.84

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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.