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Finding the Fourth Proportional to 299,668.64, 413,555.30 and 172,344.35

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Solution

The fourth proportional to 299,668.64, 413,555.30 and 172,344.35 is: 237,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668.64 : 413,555.30 = 172,344.35 : x
  2. Step 2: Convert to fraction form
    299,668.64/413,555.30 = 172,344.35/x
  3. Step 3: Cross multiply
    299,668.64x = 413,555.30 × 172,344.35
  4. Step 4: Simplify right side
    299,668.64x = 71,273,917,730.64
  5. Step 5: Solve for x
    x = 71,273,917,730.64/299,668.64
  6. Step 6: Final answer
    x = 237,842.43

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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.