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Finding the Fourth Proportional to 512,634.02, 768,946.47 and 171,103.29

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Solution

The fourth proportional to 512,634.02, 768,946.47 and 171,103.29 is: 256,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,634.02 : 768,946.47 = 171,103.29 : x
  2. Step 2: Convert to fraction form
    512,634.02/768,946.47 = 171,103.29/x
  3. Step 3: Cross multiply
    512,634.02x = 768,946.47 × 171,103.29
  4. Step 4: Simplify right side
    512,634.02x = 131,569,267,325.70
  5. Step 5: Solve for x
    x = 131,569,267,325.70/512,634.02
  6. Step 6: Final answer
    x = 256,653.41

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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.