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Finding the Fourth Proportional to 311,983.40, 467,975.10 and 264,744.20

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Solution

The fourth proportional to 311,983.40, 467,975.10 and 264,744.20 is: 397,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983.40 : 467,975.10 = 264,744.20 : x
  2. Step 2: Convert to fraction form
    311,983.40/467,975.10 = 264,744.20/x
  3. Step 3: Cross multiply
    311,983.40x = 467,975.10 × 264,744.20
  4. Step 4: Simplify right side
    311,983.40x = 123,893,693,469.42
  5. Step 5: Solve for x
    x = 123,893,693,469.42/311,983.40
  6. Step 6: Final answer
    x = 397,116.30

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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.