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Finding the Fourth Proportional to 395,092.07, 545,227.06 and 213,804

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Solution

The fourth proportional to 395,092.07, 545,227.06 and 213,804 is: 295,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,092.07 : 545,227.06 = 213,804 : x
  2. Step 2: Convert to fraction form
    395,092.07/545,227.06 = 213,804/x
  3. Step 3: Cross multiply
    395,092.07x = 545,227.06 × 213,804
  4. Step 4: Simplify right side
    395,092.07x = 116,571,726,336.24
  5. Step 5: Solve for x
    x = 116,571,726,336.24/395,092.07
  6. Step 6: Final answer
    x = 295,049.52

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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.