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Finding the Fourth Proportional to 327,153.78, 490,529.70 and 127,241.15

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Solution

The fourth proportional to 327,153.78, 490,529.70 and 127,241.15 is: 190,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,153.78 : 490,529.70 = 127,241.15 : x
  2. Step 2: Convert to fraction form
    327,153.78/490,529.70 = 127,241.15/x
  3. Step 3: Cross multiply
    327,153.78x = 490,529.70 × 127,241.15
  4. Step 4: Simplify right side
    327,153.78x = 62,415,560,684.51
  5. Step 5: Solve for x
    x = 62,415,560,684.51/327,153.78
  6. Step 6: Final answer
    x = 190,783.55

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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.