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Finding the Fourth Proportional to 512,478.57, 768,455.01 and 299,662.29

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Solution

The fourth proportional to 512,478.57, 768,455.01 and 299,662.29 is: 449,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,478.57 : 768,455.01 = 299,662.29 : x
  2. Step 2: Convert to fraction form
    512,478.57/768,455.01 = 299,662.29/x
  3. Step 3: Cross multiply
    512,478.57x = 768,455.01 × 299,662.29
  4. Step 4: Simplify right side
    512,478.57x = 230,276,988,058.57
  5. Step 5: Solve for x
    x = 230,276,988,058.57/512,478.57
  6. Step 6: Final answer
    x = 449,339.74

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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.