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Finding the Fourth Proportional to 397,509.31, 548,660.28 and 225,527.94

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Solution

The fourth proportional to 397,509.31, 548,660.28 and 225,527.94 is: 311,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,509.31 : 548,660.28 = 225,527.94 : x
  2. Step 2: Convert to fraction form
    397,509.31/548,660.28 = 225,527.94/x
  3. Step 3: Cross multiply
    397,509.31x = 548,660.28 × 225,527.94
  4. Step 4: Simplify right side
    397,509.31x = 123,738,222,708.22
  5. Step 5: Solve for x
    x = 123,738,222,708.22/397,509.31
  6. Step 6: Final answer
    x = 311,283.84

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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.