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Finding the Fourth Proportional to 397,145.80, 548,140.96 and 235,969.87

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Solution

The fourth proportional to 397,145.80, 548,140.96 and 235,969.87 is: 325,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,145.80 : 548,140.96 = 235,969.87 : x
  2. Step 2: Convert to fraction form
    397,145.80/548,140.96 = 235,969.87/x
  3. Step 3: Cross multiply
    397,145.80x = 548,140.96 × 235,969.87
  4. Step 4: Simplify right side
    397,145.80x = 129,344,751,072.88
  5. Step 5: Solve for x
    x = 129,344,751,072.88/397,145.80
  6. Step 6: Final answer
    x = 325,685.81

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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.