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Finding the Fourth Proportional to 311,999.67, 467,080.97 and 193,289.31

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Solution

The fourth proportional to 311,999.67, 467,080.97 and 193,289.31 is: 289,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,999.67 : 467,080.97 = 193,289.31 : x
  2. Step 2: Convert to fraction form
    311,999.67/467,080.97 = 193,289.31/x
  3. Step 3: Cross multiply
    311,999.67x = 467,080.97 × 193,289.31
  4. Step 4: Simplify right side
    311,999.67x = 90,281,757,438.98
  5. Step 5: Solve for x
    x = 90,281,757,438.98/311,999.67
  6. Step 6: Final answer
    x = 289,364.91

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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.