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Finding the Fourth Proportional to 541,399.80, 811,604.34 and 208,725.24

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Solution

The fourth proportional to 541,399.80, 811,604.34 and 208,725.24 is: 312,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,399.80 : 811,604.34 = 208,725.24 : x
  2. Step 2: Convert to fraction form
    541,399.80/811,604.34 = 208,725.24/x
  3. Step 3: Cross multiply
    541,399.80x = 811,604.34 × 208,725.24
  4. Step 4: Simplify right side
    541,399.80x = 169,402,310,651.54
  5. Step 5: Solve for x
    x = 169,402,310,651.54/541,399.80
  6. Step 6: Final answer
    x = 312,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.