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Finding the Fourth Proportional to 327,115.84, 490,570.08 and 105,448

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Solution

The fourth proportional to 327,115.84, 490,570.08 and 105,448 is: 158,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,115.84 : 490,570.08 = 105,448 : x
  2. Step 2: Convert to fraction form
    327,115.84/490,570.08 = 105,448/x
  3. Step 3: Cross multiply
    327,115.84x = 490,570.08 × 105,448
  4. Step 4: Simplify right side
    327,115.84x = 51,729,633,795.84
  5. Step 5: Solve for x
    x = 51,729,633,795.84/327,115.84
  6. Step 6: Final answer
    x = 158,138.58

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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.