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Finding the Fourth Proportional to 327,179.84, 490,571.48 and 213,412.64

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Solution

The fourth proportional to 327,179.84, 490,571.48 and 213,412.64 is: 319,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,179.84 : 490,571.48 = 213,412.64 : x
  2. Step 2: Convert to fraction form
    327,179.84/490,571.48 = 213,412.64/x
  3. Step 3: Cross multiply
    327,179.84x = 490,571.48 × 213,412.64
  4. Step 4: Simplify right side
    327,179.84x = 104,694,154,655.51
  5. Step 5: Solve for x
    x = 104,694,154,655.51/327,179.84
  6. Step 6: Final answer
    x = 319,989.63

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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.