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Finding the Fourth Proportional to 392,058, 541,040.04 and 213,210

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Solution

The fourth proportional to 392,058, 541,040.04 and 213,210 is: 294,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,058 : 541,040.04 = 213,210 : x
  2. Step 2: Convert to fraction form
    392,058/541,040.04 = 213,210/x
  3. Step 3: Cross multiply
    392,058x = 541,040.04 × 213,210
  4. Step 4: Simplify right side
    392,058x = 115,355,146,928.40
  5. Step 5: Solve for x
    x = 115,355,146,928.40/392,058
  6. Step 6: Final answer
    x = 294,229.80

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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.