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Finding the Fourth Proportional to 392,066, 541,051.08 and 213,218

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Solution

The fourth proportional to 392,066, 541,051.08 and 213,218 is: 294,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,066 : 541,051.08 = 213,218 : x
  2. Step 2: Convert to fraction form
    392,066/541,051.08 = 213,218/x
  3. Step 3: Cross multiply
    392,066x = 541,051.08 × 213,218
  4. Step 4: Simplify right side
    392,066x = 115,361,829,175.44
  5. Step 5: Solve for x
    x = 115,361,829,175.44/392,066
  6. Step 6: Final answer
    x = 294,240.84

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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.