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Finding the Fourth Proportional to 311,498.22, 430,054.29 and 204,255.30

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Solution

The fourth proportional to 311,498.22, 430,054.29 and 204,255.30 is: 281,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,498.22 : 430,054.29 = 204,255.30 : x
  2. Step 2: Convert to fraction form
    311,498.22/430,054.29 = 204,255.30/x
  3. Step 3: Cross multiply
    311,498.22x = 430,054.29 × 204,255.30
  4. Step 4: Simplify right side
    311,498.22x = 87,840,868,020.24
  5. Step 5: Solve for x
    x = 87,840,868,020.24/311,498.22
  6. Step 6: Final answer
    x = 281,994.77

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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.