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Finding the Fourth Proportional to 392,874, 542,166.12 and 214,026

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Solution

The fourth proportional to 392,874, 542,166.12 and 214,026 is: 295,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,874 : 542,166.12 = 214,026 : x
  2. Step 2: Convert to fraction form
    392,874/542,166.12 = 214,026/x
  3. Step 3: Cross multiply
    392,874x = 542,166.12 × 214,026
  4. Step 4: Simplify right side
    392,874x = 116,037,645,999.12
  5. Step 5: Solve for x
    x = 116,037,645,999.12/392,874
  6. Step 6: Final answer
    x = 295,355.88

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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.