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Finding the Fourth Proportional to 311,612.12, 467,049.12 and 142,990.32

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Solution

The fourth proportional to 311,612.12, 467,049.12 and 142,990.32 is: 214,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,612.12 : 467,049.12 = 142,990.32 : x
  2. Step 2: Convert to fraction form
    311,612.12/467,049.12 = 142,990.32/x
  3. Step 3: Cross multiply
    311,612.12x = 467,049.12 × 142,990.32
  4. Step 4: Simplify right side
    311,612.12x = 66,783,503,660.73
  5. Step 5: Solve for x
    x = 66,783,503,660.73/311,612.12
  6. Step 6: Final answer
    x = 214,316.13

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1.5x scale

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.