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Finding the Fourth Proportional to 474,059.81, 654,214.39 and 287,793.54

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Solution

The fourth proportional to 474,059.81, 654,214.39 and 287,793.54 is: 397,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,059.81 : 654,214.39 = 287,793.54 : x
  2. Step 2: Convert to fraction form
    474,059.81/654,214.39 = 287,793.54/x
  3. Step 3: Cross multiply
    474,059.81x = 654,214.39 × 287,793.54
  4. Step 4: Simplify right side
    474,059.81x = 188,278,674,497.56
  5. Step 5: Solve for x
    x = 188,278,674,497.56/474,059.81
  6. Step 6: Final answer
    x = 397,162.28

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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.