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Finding the Fourth Proportional to 313,049.88, 431,529.50 and 191,966.64

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Solution

The fourth proportional to 313,049.88, 431,529.50 and 191,966.64 is: 264,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,049.88 : 431,529.50 = 191,966.64 : x
  2. Step 2: Convert to fraction form
    313,049.88/431,529.50 = 191,966.64/x
  3. Step 3: Cross multiply
    313,049.88x = 431,529.50 × 191,966.64
  4. Step 4: Simplify right side
    313,049.88x = 82,839,267,216.05
  5. Step 5: Solve for x
    x = 82,839,267,216.05/313,049.88
  6. Step 6: Final answer
    x = 264,620.03

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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.