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Finding the Fourth Proportional to 299,996, 414,003.12 and 165,868.64

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Solution

The fourth proportional to 299,996, 414,003.12 and 165,868.64 is: 228,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,996 : 414,003.12 = 165,868.64 : x
  2. Step 2: Convert to fraction form
    299,996/414,003.12 = 165,868.64/x
  3. Step 3: Cross multiply
    299,996x = 414,003.12 × 165,868.64
  4. Step 4: Simplify right side
    299,996x = 68,670,134,470.16
  5. Step 5: Solve for x
    x = 68,670,134,470.16/299,996
  6. Step 6: Final answer
    x = 228,903.50

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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.