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Finding the Fourth Proportional to 491,447.66, 678,406.97 and 330,396.08

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Solution

The fourth proportional to 491,447.66, 678,406.97 and 330,396.08 is: 456,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,447.66 : 678,406.97 = 330,396.08 : x
  2. Step 2: Convert to fraction form
    491,447.66/678,406.97 = 330,396.08/x
  3. Step 3: Cross multiply
    491,447.66x = 678,406.97 × 330,396.08
  4. Step 4: Simplify right side
    491,447.66x = 224,142,998,488.66
  5. Step 5: Solve for x
    x = 224,142,998,488.66/491,447.66
  6. Step 6: Final answer
    x = 456,087.23

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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.