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Finding the Fourth Proportional to 538,825.80, 807,188.94 and 327,940.68

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Solution

The fourth proportional to 538,825.80, 807,188.94 and 327,940.68 is: 491,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,825.80 : 807,188.94 = 327,940.68 : x
  2. Step 2: Convert to fraction form
    538,825.80/807,188.94 = 327,940.68/x
  3. Step 3: Cross multiply
    538,825.80x = 807,188.94 × 327,940.68
  4. Step 4: Simplify right side
    538,825.80x = 264,710,089,872.08
  5. Step 5: Solve for x
    x = 264,710,089,872.08/538,825.80
  6. Step 6: Final answer
    x = 491,272.11

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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.