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Finding the Fourth Proportional to 392,737.79, 541,978.16 and 213,889.79

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Solution

The fourth proportional to 392,737.79, 541,978.16 and 213,889.79 is: 295,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,737.79 : 541,978.16 = 213,889.79 : x
  2. Step 2: Convert to fraction form
    392,737.79/541,978.16 = 213,889.79/x
  3. Step 3: Cross multiply
    392,737.79x = 541,978.16 × 213,889.79
  4. Step 4: Simplify right side
    392,737.79x = 115,923,595,112.48
  5. Step 5: Solve for x
    x = 115,923,595,112.48/392,737.79
  6. Step 6: Final answer
    x = 295,167.91

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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.