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Finding the Fourth Proportional to 491,832.61, 678,757.93 and 300,882.60

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Solution

The fourth proportional to 491,832.61, 678,757.93 and 300,882.60 is: 415,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,832.61 : 678,757.93 = 300,882.60 : x
  2. Step 2: Convert to fraction form
    491,832.61/678,757.93 = 300,882.60/x
  3. Step 3: Cross multiply
    491,832.61x = 678,757.93 × 300,882.60
  4. Step 4: Simplify right side
    491,832.61x = 204,226,449,996.81
  5. Step 5: Solve for x
    x = 204,226,449,996.81/491,832.61
  6. Step 6: Final answer
    x = 415,235.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.