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Finding the Fourth Proportional to 378,576.94, 567,742.54 and 125,789.54

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Solution

The fourth proportional to 378,576.94, 567,742.54 and 125,789.54 is: 188,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576.94 : 567,742.54 = 125,789.54 : x
  2. Step 2: Convert to fraction form
    378,576.94/567,742.54 = 125,789.54/x
  3. Step 3: Cross multiply
    378,576.94x = 567,742.54 × 125,789.54
  4. Step 4: Simplify right side
    378,576.94x = 71,416,072,316.08
  5. Step 5: Solve for x
    x = 71,416,072,316.08/378,576.94
  6. Step 6: Final answer
    x = 188,643.48

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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.