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Finding the Fourth Proportional to 646,668.12, 969,399.05 and 219,912.31

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Solution

The fourth proportional to 646,668.12, 969,399.05 and 219,912.31 is: 329,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,668.12 : 969,399.05 = 219,912.31 : x
  2. Step 2: Convert to fraction form
    646,668.12/969,399.05 = 219,912.31/x
  3. Step 3: Cross multiply
    646,668.12x = 969,399.05 × 219,912.31
  4. Step 4: Simplify right side
    646,668.12x = 213,182,784,509.49
  5. Step 5: Solve for x
    x = 213,182,784,509.49/646,668.12
  6. Step 6: Final answer
    x = 329,663.36

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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.