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Finding the Fourth Proportional to 397,296.90, 548,293.05 and 225,228.60

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Solution

The fourth proportional to 397,296.90, 548,293.05 and 225,228.60 is: 310,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,296.90 : 548,293.05 = 225,228.60 : x
  2. Step 2: Convert to fraction form
    397,296.90/548,293.05 = 225,228.60/x
  3. Step 3: Cross multiply
    397,296.90x = 548,293.05 × 225,228.60
  4. Step 4: Simplify right side
    397,296.90x = 123,491,276,041.23
  5. Step 5: Solve for x
    x = 123,491,276,041.23/397,296.90
  6. Step 6: Final answer
    x = 310,828.69

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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.