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Finding the Fourth Proportional to 512,081.44, 706,422.72 and 330,949.60

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Solution

The fourth proportional to 512,081.44, 706,422.72 and 330,949.60 is: 456,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.44 : 706,422.72 = 330,949.60 : x
  2. Step 2: Convert to fraction form
    512,081.44/706,422.72 = 330,949.60/x
  3. Step 3: Cross multiply
    512,081.44x = 706,422.72 × 330,949.60
  4. Step 4: Simplify right side
    512,081.44x = 233,790,316,614.91
  5. Step 5: Solve for x
    x = 233,790,316,614.91/512,081.44
  6. Step 6: Final answer
    x = 456,549.09

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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.