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Finding the Fourth Proportional to 392,548, 541,716.96 and 213,700

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Solution

The fourth proportional to 392,548, 541,716.96 and 213,700 is: 294,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,548 : 541,716.96 = 213,700 : x
  2. Step 2: Convert to fraction form
    392,548/541,716.96 = 213,700/x
  3. Step 3: Cross multiply
    392,548x = 541,716.96 × 213,700
  4. Step 4: Simplify right side
    392,548x = 115,764,914,352.00
  5. Step 5: Solve for x
    x = 115,764,914,352.00/392,548
  6. Step 6: Final answer
    x = 294,906.39

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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.