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Finding the Fourth Proportional to 395,908.50, 546,355.23 and 214,620.78

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Solution

The fourth proportional to 395,908.50, 546,355.23 and 214,620.78 is: 296,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,908.50 : 546,355.23 = 214,620.78 : x
  2. Step 2: Convert to fraction form
    395,908.50/546,355.23 = 214,620.78/x
  3. Step 3: Cross multiply
    395,908.50x = 546,355.23 × 214,620.78
  4. Step 4: Simplify right side
    395,908.50x = 117,259,185,619.68
  5. Step 5: Solve for x
    x = 117,259,185,619.68/395,908.50
  6. Step 6: Final answer
    x = 296,177.49

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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.