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Finding the Fourth Proportional to 392,537.78, 541,730.14 and 222,782.84

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Solution

The fourth proportional to 392,537.78, 541,730.14 and 222,782.84 is: 307,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,537.78 : 541,730.14 = 222,782.84 : x
  2. Step 2: Convert to fraction form
    392,537.78/541,730.14 = 222,782.84/x
  3. Step 3: Cross multiply
    392,537.78x = 541,730.14 × 222,782.84
  4. Step 4: Simplify right side
    392,537.78x = 120,688,179,102.80
  5. Step 5: Solve for x
    x = 120,688,179,102.80/392,537.78
  6. Step 6: Final answer
    x = 307,456.21

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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.