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Finding the Fourth Proportional to 299,674.60, 413,799.78 and 199,527.40

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Solution

The fourth proportional to 299,674.60, 413,799.78 and 199,527.40 is: 275,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,674.60 : 413,799.78 = 199,527.40 : x
  2. Step 2: Convert to fraction form
    299,674.60/413,799.78 = 199,527.40/x
  3. Step 3: Cross multiply
    299,674.60x = 413,799.78 × 199,527.40
  4. Step 4: Simplify right side
    299,674.60x = 82,564,394,223.97
  5. Step 5: Solve for x
    x = 82,564,394,223.97/299,674.60
  6. Step 6: Final answer
    x = 275,513.49

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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.