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Finding the Fourth Proportional to 392,845.98, 542,127.51 and 213,997.98

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Solution

The fourth proportional to 392,845.98, 542,127.51 and 213,997.98 is: 295,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,845.98 : 542,127.51 = 213,997.98 : x
  2. Step 2: Convert to fraction form
    392,845.98/542,127.51 = 213,997.98/x
  3. Step 3: Cross multiply
    392,845.98x = 542,127.51 × 213,997.98
  4. Step 4: Simplify right side
    392,845.98x = 116,014,192,042.43
  5. Step 5: Solve for x
    x = 116,014,192,042.43/392,845.98
  6. Step 6: Final answer
    x = 295,317.24

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1.5x scale

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.