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Finding the Fourth Proportional to 327,284.34, 490,870.81 and 90,571.56

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Solution

The fourth proportional to 327,284.34, 490,870.81 and 90,571.56 is: 135,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,284.34 : 490,870.81 = 90,571.56 : x
  2. Step 2: Convert to fraction form
    327,284.34/490,870.81 = 90,571.56/x
  3. Step 3: Cross multiply
    327,284.34x = 490,870.81 × 90,571.56
  4. Step 4: Simplify right side
    327,284.34x = 44,458,935,020.16
  5. Step 5: Solve for x
    x = 44,458,935,020.16/327,284.34
  6. Step 6: Final answer
    x = 135,841.93

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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.