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Finding the Fourth Proportional to 299,259, 412,986.06 and 165,131.64

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Solution

The fourth proportional to 299,259, 412,986.06 and 165,131.64 is: 227,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,259 : 412,986.06 = 165,131.64 : x
  2. Step 2: Convert to fraction form
    299,259/412,986.06 = 165,131.64/x
  3. Step 3: Cross multiply
    299,259x = 412,986.06 × 165,131.64
  4. Step 4: Simplify right side
    299,259x = 68,197,065,384.94
  5. Step 5: Solve for x
    x = 68,197,065,384.94/299,259
  6. Step 6: Final answer
    x = 227,886.43

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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.