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Finding the Fourth Proportional to 328,115.81, 491,846.69 and 138,623.87

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Solution

The fourth proportional to 328,115.81, 491,846.69 and 138,623.87 is: 207,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,115.81 : 491,846.69 = 138,623.87 : x
  2. Step 2: Convert to fraction form
    328,115.81/491,846.69 = 138,623.87/x
  3. Step 3: Cross multiply
    328,115.81x = 491,846.69 × 138,623.87
  4. Step 4: Simplify right side
    328,115.81x = 68,181,693,190.67
  5. Step 5: Solve for x
    x = 68,181,693,190.67/328,115.81
  6. Step 6: Final answer
    x = 207,797.65

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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.