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Finding the Fourth Proportional to 491,439.69, 678,396.00 and 330,388.13

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Solution

The fourth proportional to 491,439.69, 678,396.00 and 330,388.13 is: 456,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,439.69 : 678,396.00 = 330,388.13 : x
  2. Step 2: Convert to fraction form
    491,439.69/678,396.00 = 330,388.13/x
  3. Step 3: Cross multiply
    491,439.69x = 678,396.00 × 330,388.13
  4. Step 4: Simplify right side
    491,439.69x = 224,133,980,795.56
  5. Step 5: Solve for x
    x = 224,133,980,795.56/491,439.69
  6. Step 6: Final answer
    x = 456,076.27

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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.