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Finding the Fourth Proportional to 407,065.88, 610,474.44 and 281,513

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Solution

The fourth proportional to 407,065.88, 610,474.44 and 281,513 is: 422,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,065.88 : 610,474.44 = 281,513 : x
  2. Step 2: Convert to fraction form
    407,065.88/610,474.44 = 281,513/x
  3. Step 3: Cross multiply
    407,065.88x = 610,474.44 × 281,513
  4. Step 4: Simplify right side
    407,065.88x = 171,856,491,027.72
  5. Step 5: Solve for x
    x = 171,856,491,027.72/407,065.88
  6. Step 6: Final answer
    x = 422,183.48

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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.