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Finding the Fourth Proportional to 392,143.75, 541,158.86 and 213,295.75

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Solution

The fourth proportional to 392,143.75, 541,158.86 and 213,295.75 is: 294,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,143.75 : 541,158.86 = 213,295.75 : x
  2. Step 2: Convert to fraction form
    392,143.75/541,158.86 = 213,295.75/x
  3. Step 3: Cross multiply
    392,143.75x = 541,158.86 × 213,295.75
  4. Step 4: Simplify right side
    392,143.75x = 115,426,884,912.85
  5. Step 5: Solve for x
    x = 115,426,884,912.85/392,143.75
  6. Step 6: Final answer
    x = 294,348.40

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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.