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Finding the Fourth Proportional to 409,840.43, 565,843.32 and 280,993.32

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Solution

The fourth proportional to 409,840.43, 565,843.32 and 280,993.32 is: 387,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,840.43 : 565,843.32 = 280,993.32 : x
  2. Step 2: Convert to fraction form
    409,840.43/565,843.32 = 280,993.32/x
  3. Step 3: Cross multiply
    409,840.43x = 565,843.32 × 280,993.32
  4. Step 4: Simplify right side
    409,840.43x = 158,998,193,086.62
  5. Step 5: Solve for x
    x = 158,998,193,086.62/409,840.43
  6. Step 6: Final answer
    x = 387,951.46

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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.