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Finding the Fourth Proportional to 645,196.30, 967,991.28 and 329,874.64

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Solution

The fourth proportional to 645,196.30, 967,991.28 and 329,874.64 is: 494,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,196.30 : 967,991.28 = 329,874.64 : x
  2. Step 2: Convert to fraction form
    645,196.30/967,991.28 = 329,874.64/x
  3. Step 3: Cross multiply
    645,196.30x = 967,991.28 × 329,874.64
  4. Step 4: Simplify right side
    645,196.30x = 319,315,775,013.14
  5. Step 5: Solve for x
    x = 319,315,775,013.14/645,196.30
  6. Step 6: Final answer
    x = 494,912.59

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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.