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Finding the Fourth Proportional to 311,797.66, 429,993.78 and 204,328.66

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Solution

The fourth proportional to 311,797.66, 429,993.78 and 204,328.66 is: 281,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,797.66 : 429,993.78 = 204,328.66 : x
  2. Step 2: Convert to fraction form
    311,797.66/429,993.78 = 204,328.66/x
  3. Step 3: Cross multiply
    311,797.66x = 429,993.78 × 204,328.66
  4. Step 4: Simplify right side
    311,797.66x = 87,860,052,875.73
  5. Step 5: Solve for x
    x = 87,860,052,875.73/311,797.66
  6. Step 6: Final answer
    x = 281,785.48

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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.