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Finding the Fourth Proportional to 311,839.20, 467,758.80 and 124,984.80

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Solution

The fourth proportional to 311,839.20, 467,758.80 and 124,984.80 is: 187,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,839.20 : 467,758.80 = 124,984.80 : x
  2. Step 2: Convert to fraction form
    311,839.20/467,758.80 = 124,984.80/x
  3. Step 3: Cross multiply
    311,839.20x = 467,758.80 × 124,984.80
  4. Step 4: Simplify right side
    311,839.20x = 58,462,740,066.24
  5. Step 5: Solve for x
    x = 58,462,740,066.24/311,839.20
  6. Step 6: Final answer
    x = 187,477.20

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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.