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Finding the Fourth Proportional to 541,180.63, 811,639.72 and 225,465.31

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Solution

The fourth proportional to 541,180.63, 811,639.72 and 225,465.31 is: 338,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,180.63 : 811,639.72 = 225,465.31 : x
  2. Step 2: Convert to fraction form
    541,180.63/811,639.72 = 225,465.31/x
  3. Step 3: Cross multiply
    541,180.63x = 811,639.72 × 225,465.31
  4. Step 4: Simplify right side
    541,180.63x = 182,996,601,078.11
  5. Step 5: Solve for x
    x = 182,996,601,078.11/541,180.63
  6. Step 6: Final answer
    x = 338,143.29

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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.