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Finding the Fourth Proportional to 471,033.64, 649,797.78 and 279,911.44

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Solution

The fourth proportional to 471,033.64, 649,797.78 and 279,911.44 is: 386,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,033.64 : 649,797.78 = 279,911.44 : x
  2. Step 2: Convert to fraction form
    471,033.64/649,797.78 = 279,911.44/x
  3. Step 3: Cross multiply
    471,033.64x = 649,797.78 × 279,911.44
  4. Step 4: Simplify right side
    471,033.64x = 181,885,832,308.60
  5. Step 5: Solve for x
    x = 181,885,832,308.60/471,033.64
  6. Step 6: Final answer
    x = 386,141.92

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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.