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Finding the Fourth Proportional to 512,479.32, 768,456.14 and 299,663.03

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Solution

The fourth proportional to 512,479.32, 768,456.14 and 299,663.03 is: 449,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,479.32 : 768,456.14 = 299,663.03 : x
  2. Step 2: Convert to fraction form
    512,479.32/768,456.14 = 299,663.03/x
  3. Step 3: Cross multiply
    512,479.32x = 768,456.14 × 299,663.03
  4. Step 4: Simplify right side
    512,479.32x = 230,277,889,993.91
  5. Step 5: Solve for x
    x = 230,277,889,993.91/512,479.32
  6. Step 6: Final answer
    x = 449,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.