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Finding the Fourth Proportional to 397,212.21, 548,141.31 and 225,146.01

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Solution

The fourth proportional to 397,212.21, 548,141.31 and 225,146.01 is: 310,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,212.21 : 548,141.31 = 225,146.01 : x
  2. Step 2: Convert to fraction form
    397,212.21/548,141.31 = 225,146.01/x
  3. Step 3: Cross multiply
    397,212.21x = 548,141.31 × 225,146.01
  4. Step 4: Simplify right side
    397,212.21x = 123,411,829,287.05
  5. Step 5: Solve for x
    x = 123,411,829,287.05/397,212.21
  6. Step 6: Final answer
    x = 310,694.95

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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.