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Finding the Fourth Proportional to 446,891.29, 669,439.40 and 206,668.47

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Solution

The fourth proportional to 446,891.29, 669,439.40 and 206,668.47 is: 309,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,891.29 : 669,439.40 = 206,668.47 : x
  2. Step 2: Convert to fraction form
    446,891.29/669,439.40 = 206,668.47/x
  3. Step 3: Cross multiply
    446,891.29x = 669,439.40 × 206,668.47
  4. Step 4: Simplify right side
    446,891.29x = 138,352,019,582.79
  5. Step 5: Solve for x
    x = 138,352,019,582.79/446,891.29
  6. Step 6: Final answer
    x = 309,587.64

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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.