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Finding the Fourth Proportional to 392,950, 542,271 and 214,102

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Solution

The fourth proportional to 392,950, 542,271 and 214,102 is: 295,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,950 : 542,271 = 214,102 : x
  2. Step 2: Convert to fraction form
    392,950/542,271 = 214,102/x
  3. Step 3: Cross multiply
    392,950x = 542,271 × 214,102
  4. Step 4: Simplify right side
    392,950x = 116,101,305,642
  5. Step 5: Solve for x
    x = 116,101,305,642/392,950
  6. Step 6: Final answer
    x = 295,460.76

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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.