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Finding the Fourth Proportional to 645,195.30, 967,989.78 and 329,873.64

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Solution

The fourth proportional to 645,195.30, 967,989.78 and 329,873.64 is: 494,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,195.30 : 967,989.78 = 329,873.64 : x
  2. Step 2: Convert to fraction form
    645,195.30/967,989.78 = 329,873.64/x
  3. Step 3: Cross multiply
    645,195.30x = 967,989.78 × 329,873.64
  4. Step 4: Simplify right side
    645,195.30x = 319,314,312,211.40
  5. Step 5: Solve for x
    x = 319,314,312,211.40/645,195.30
  6. Step 6: Final answer
    x = 494,911.09

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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.