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Finding the Fourth Proportional to 382,863.64, 574,331.61 and 112,992.80

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Solution

The fourth proportional to 382,863.64, 574,331.61 and 112,992.80 is: 169,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,863.64 : 574,331.61 = 112,992.80 : x
  2. Step 2: Convert to fraction form
    382,863.64/574,331.61 = 112,992.80/x
  3. Step 3: Cross multiply
    382,863.64x = 574,331.61 × 112,992.80
  4. Step 4: Simplify right side
    382,863.64x = 64,895,336,742.41
  5. Step 5: Solve for x
    x = 64,895,336,742.41/382,863.64
  6. Step 6: Final answer
    x = 169,499.87

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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.