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Finding the Fourth Proportional to 299,243.76, 413,199 and 285,713.52

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Solution

The fourth proportional to 299,243.76, 413,199 and 285,713.52 is: 394,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,243.76 : 413,199 = 285,713.52 : x
  2. Step 2: Convert to fraction form
    299,243.76/413,199 = 285,713.52/x
  3. Step 3: Cross multiply
    299,243.76x = 413,199 × 285,713.52
  4. Step 4: Simplify right side
    299,243.76x = 118,056,540,750.48
  5. Step 5: Solve for x
    x = 118,056,540,750.48/299,243.76
  6. Step 6: Final answer
    x = 394,516.30

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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.