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Finding the Fourth Proportional to 491,863.10, 678,796.35 and 300,816.50

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Solution

The fourth proportional to 491,863.10, 678,796.35 and 300,816.50 is: 415,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,863.10 : 678,796.35 = 300,816.50 : x
  2. Step 2: Convert to fraction form
    491,863.10/678,796.35 = 300,816.50/x
  3. Step 3: Cross multiply
    491,863.10x = 678,796.35 × 300,816.50
  4. Step 4: Simplify right side
    491,863.10x = 204,193,142,219.78
  5. Step 5: Solve for x
    x = 204,193,142,219.78/491,863.10
  6. Step 6: Final answer
    x = 415,142.23

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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.