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Finding the Fourth Proportional to 395,192, 545,364.96 and 216,344

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Solution

The fourth proportional to 395,192, 545,364.96 and 216,344 is: 298,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,192 : 545,364.96 = 216,344 : x
  2. Step 2: Convert to fraction form
    395,192/545,364.96 = 216,344/x
  3. Step 3: Cross multiply
    395,192x = 545,364.96 × 216,344
  4. Step 4: Simplify right side
    395,192x = 117,986,436,906.24
  5. Step 5: Solve for x
    x = 117,986,436,906.24/395,192
  6. Step 6: Final answer
    x = 298,554.72

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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.