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Finding the Fourth Proportional to 228,286.44, 315,018.18 and 127,665

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Solution

The fourth proportional to 228,286.44, 315,018.18 and 127,665 is: 176,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286.44 : 315,018.18 = 127,665 : x
  2. Step 2: Convert to fraction form
    228,286.44/315,018.18 = 127,665/x
  3. Step 3: Cross multiply
    228,286.44x = 315,018.18 × 127,665
  4. Step 4: Simplify right side
    228,286.44x = 40,216,795,949.70
  5. Step 5: Solve for x
    x = 40,216,795,949.70/228,286.44
  6. Step 6: Final answer
    x = 176,168.13

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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.