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Finding the Fourth Proportional to 392,080, 541,079.04 and 213,232

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Solution

The fourth proportional to 392,080, 541,079.04 and 213,232 is: 294,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,080 : 541,079.04 = 213,232 : x
  2. Step 2: Convert to fraction form
    392,080/541,079.04 = 213,232/x
  3. Step 3: Cross multiply
    392,080x = 541,079.04 × 213,232
  4. Step 4: Simplify right side
    392,080x = 115,375,365,857.28
  5. Step 5: Solve for x
    x = 115,375,365,857.28/392,080
  6. Step 6: Final answer
    x = 294,264.86

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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.