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Finding the Fourth Proportional to 395,484.28, 545,796.30 and 225,743.92

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Solution

The fourth proportional to 395,484.28, 545,796.30 and 225,743.92 is: 311,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,484.28 : 545,796.30 = 225,743.92 : x
  2. Step 2: Convert to fraction form
    395,484.28/545,796.30 = 225,743.92/x
  3. Step 3: Cross multiply
    395,484.28x = 545,796.30 × 225,743.92
  4. Step 4: Simplify right side
    395,484.28x = 123,210,196,283.50
  5. Step 5: Solve for x
    x = 123,210,196,283.50/395,484.28
  6. Step 6: Final answer
    x = 311,542.59

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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.