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Finding the Fourth Proportional to 491,440.30, 678,396.84 and 330,388.78

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Solution

The fourth proportional to 491,440.30, 678,396.84 and 330,388.78 is: 456,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,440.30 : 678,396.84 = 330,388.78 : x
  2. Step 2: Convert to fraction form
    491,440.30/678,396.84 = 330,388.78/x
  3. Step 3: Cross multiply
    491,440.30x = 678,396.84 × 330,388.78
  4. Step 4: Simplify right side
    491,440.30x = 224,134,704,323.46
  5. Step 5: Solve for x
    x = 224,134,704,323.46/491,440.30
  6. Step 6: Final answer
    x = 456,077.18

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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.