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Finding the Fourth Proportional to 463,589.92, 639,745.62 and 256,857.55

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Solution

The fourth proportional to 463,589.92, 639,745.62 and 256,857.55 is: 354,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,589.92 : 639,745.62 = 256,857.55 : x
  2. Step 2: Convert to fraction form
    463,589.92/639,745.62 = 256,857.55/x
  3. Step 3: Cross multiply
    463,589.92x = 639,745.62 × 256,857.55
  4. Step 4: Simplify right side
    463,589.92x = 164,323,494,976.75
  5. Step 5: Solve for x
    x = 164,323,494,976.75/463,589.92
  6. Step 6: Final answer
    x = 354,458.73

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1.5x scale

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.