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Finding the Fourth Proportional to 299,433.43, 413,668.84 and 196,312.64

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Solution

The fourth proportional to 299,433.43, 413,668.84 and 196,312.64 is: 271,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433.43 : 413,668.84 = 196,312.64 : x
  2. Step 2: Convert to fraction form
    299,433.43/413,668.84 = 196,312.64/x
  3. Step 3: Cross multiply
    299,433.43x = 413,668.84 × 196,312.64
  4. Step 4: Simplify right side
    299,433.43x = 81,208,419,875.10
  5. Step 5: Solve for x
    x = 81,208,419,875.10/299,433.43
  6. Step 6: Final answer
    x = 271,206.92

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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.