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Finding the Fourth Proportional to 395,529.28, 545,928.08 and 225,861.84

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Solution

The fourth proportional to 395,529.28, 545,928.08 and 225,861.84 is: 311,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,529.28 : 545,928.08 = 225,861.84 : x
  2. Step 2: Convert to fraction form
    395,529.28/545,928.08 = 225,861.84/x
  3. Step 3: Cross multiply
    395,529.28x = 545,928.08 × 225,861.84
  4. Step 4: Simplify right side
    395,529.28x = 123,304,320,656.47
  5. Step 5: Solve for x
    x = 123,304,320,656.47/395,529.28
  6. Step 6: Final answer
    x = 311,745.11

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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.