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Finding the Fourth Proportional to 327,079.81, 490,810.06 and 137,526.45

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Solution

The fourth proportional to 327,079.81, 490,810.06 and 137,526.45 is: 206,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,079.81 : 490,810.06 = 137,526.45 : x
  2. Step 2: Convert to fraction form
    327,079.81/490,810.06 = 137,526.45/x
  3. Step 3: Cross multiply
    327,079.81x = 490,810.06 × 137,526.45
  4. Step 4: Simplify right side
    327,079.81x = 67,499,365,176.09
  5. Step 5: Solve for x
    x = 67,499,365,176.09/327,079.81
  6. Step 6: Final answer
    x = 206,369.71

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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.