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Finding the Fourth Proportional to 491,440.19, 678,396.72 and 330,388.64

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Solution

The fourth proportional to 491,440.19, 678,396.72 and 330,388.64 is: 456,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,440.19 : 678,396.72 = 330,388.64 : x
  2. Step 2: Convert to fraction form
    491,440.19/678,396.72 = 330,388.64/x
  3. Step 3: Cross multiply
    491,440.19x = 678,396.72 × 330,388.64
  4. Step 4: Simplify right side
    491,440.19x = 224,134,566,309.28
  5. Step 5: Solve for x
    x = 224,134,566,309.28/491,440.19
  6. Step 6: Final answer
    x = 456,077.00

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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.