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Finding the Fourth Proportional to 491,833.11, 678,758.62 and 300,883.10

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Solution

The fourth proportional to 491,833.11, 678,758.62 and 300,883.10 is: 415,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,833.11 : 678,758.62 = 300,883.10 : x
  2. Step 2: Convert to fraction form
    491,833.11/678,758.62 = 300,883.10/x
  3. Step 3: Cross multiply
    491,833.11x = 678,758.62 × 300,883.10
  4. Step 4: Simplify right side
    491,833.11x = 204,226,997,737.32
  5. Step 5: Solve for x
    x = 204,226,997,737.32/491,833.11
  6. Step 6: Final answer
    x = 415,236.38

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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.