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Finding the Fourth Proportional to 311,879.40, 430,442.10 and 204,760.14

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Solution

The fourth proportional to 311,879.40, 430,442.10 and 204,760.14 is: 282,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879.40 : 430,442.10 = 204,760.14 : x
  2. Step 2: Convert to fraction form
    311,879.40/430,442.10 = 204,760.14/x
  3. Step 3: Cross multiply
    311,879.40x = 430,442.10 × 204,760.14
  4. Step 4: Simplify right side
    311,879.40x = 88,137,384,657.89
  5. Step 5: Solve for x
    x = 88,137,384,657.89/311,879.40
  6. Step 6: Final answer
    x = 282,600.85

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1.5x scale

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.