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Finding the Fourth Proportional to 392,448, 541,578.24 and 213,600

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Solution

The fourth proportional to 392,448, 541,578.24 and 213,600 is: 294,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,448 : 541,578.24 = 213,600 : x
  2. Step 2: Convert to fraction form
    392,448/541,578.24 = 213,600/x
  3. Step 3: Cross multiply
    392,448x = 541,578.24 × 213,600
  4. Step 4: Simplify right side
    392,448x = 115,681,112,064
  5. Step 5: Solve for x
    x = 115,681,112,064/392,448
  6. Step 6: Final answer
    x = 294,768

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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.