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Finding the Fourth Proportional to 299,668.51, 413,555.13 and 172,344.22

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Solution

The fourth proportional to 299,668.51, 413,555.13 and 172,344.22 is: 237,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668.51 : 413,555.13 = 172,344.22 : x
  2. Step 2: Convert to fraction form
    299,668.51/413,555.13 = 172,344.22/x
  3. Step 3: Cross multiply
    299,668.51x = 413,555.13 × 172,344.22
  4. Step 4: Simplify right side
    299,668.51x = 71,273,836,306.85
  5. Step 5: Solve for x
    x = 71,273,836,306.85/299,668.51
  6. Step 6: Final answer
    x = 237,842.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.