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Finding the Fourth Proportional to 272,002.60, 407,744.70 and 211,997.80

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Solution

The fourth proportional to 272,002.60, 407,744.70 and 211,997.80 is: 317,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,002.60 : 407,744.70 = 211,997.80 : x
  2. Step 2: Convert to fraction form
    272,002.60/407,744.70 = 211,997.80/x
  3. Step 3: Cross multiply
    272,002.60x = 407,744.70 × 211,997.80
  4. Step 4: Simplify right side
    272,002.60x = 86,440,979,361.66
  5. Step 5: Solve for x
    x = 86,440,979,361.66/272,002.60
  6. Step 6: Final answer
    x = 317,794.68

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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.