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Finding the Fourth Proportional to 328,125.21, 491,860.78 and 138,633.30

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Solution

The fourth proportional to 328,125.21, 491,860.78 and 138,633.30 is: 207,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,125.21 : 491,860.78 = 138,633.30 : x
  2. Step 2: Convert to fraction form
    328,125.21/491,860.78 = 138,633.30/x
  3. Step 3: Cross multiply
    328,125.21x = 491,860.78 × 138,633.30
  4. Step 4: Simplify right side
    328,125.21x = 68,188,283,071.97
  5. Step 5: Solve for x
    x = 68,188,283,071.97/328,125.21
  6. Step 6: Final answer
    x = 207,811.78

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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.