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Finding the Fourth Proportional to 395,525.28, 545,922.54 and 225,857.82

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Solution

The fourth proportional to 395,525.28, 545,922.54 and 225,857.82 is: 311,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,525.28 : 545,922.54 = 225,857.82 : x
  2. Step 2: Convert to fraction form
    395,525.28/545,922.54 = 225,857.82/x
  3. Step 3: Cross multiply
    395,525.28x = 545,922.54 × 225,857.82
  4. Step 4: Simplify right side
    395,525.28x = 123,300,874,773.26
  5. Step 5: Solve for x
    x = 123,300,874,773.26/395,525.28
  6. Step 6: Final answer
    x = 311,739.55

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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.