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Finding the Fourth Proportional to 382,416.72, 573,079.68 and 281,785.68

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Solution

The fourth proportional to 382,416.72, 573,079.68 and 281,785.68 is: 422,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,416.72 : 573,079.68 = 281,785.68 : x
  2. Step 2: Convert to fraction form
    382,416.72/573,079.68 = 281,785.68/x
  3. Step 3: Cross multiply
    382,416.72x = 573,079.68 × 281,785.68
  4. Step 4: Simplify right side
    382,416.72x = 161,485,647,322.98
  5. Step 5: Solve for x
    x = 161,485,647,322.98/382,416.72
  6. Step 6: Final answer
    x = 422,276.64

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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.