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Finding the Fourth Proportional to 541,057.28, 811,427.36 and 203,854.64

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Solution

The fourth proportional to 541,057.28, 811,427.36 and 203,854.64 is: 305,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,057.28 : 811,427.36 = 203,854.64 : x
  2. Step 2: Convert to fraction form
    541,057.28/811,427.36 = 203,854.64/x
  3. Step 3: Cross multiply
    541,057.28x = 811,427.36 × 203,854.64
  4. Step 4: Simplify right side
    541,057.28x = 165,413,232,358.95
  5. Step 5: Solve for x
    x = 165,413,232,358.95/541,057.28
  6. Step 6: Final answer
    x = 305,722.22

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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.