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Finding the Fourth Proportional to 288,168, 397,717.92 and 168,936

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Solution

The fourth proportional to 288,168, 397,717.92 and 168,936 is: 233,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,168 : 397,717.92 = 168,936 : x
  2. Step 2: Convert to fraction form
    288,168/397,717.92 = 168,936/x
  3. Step 3: Cross multiply
    288,168x = 397,717.92 × 168,936
  4. Step 4: Simplify right side
    288,168x = 67,188,874,533.12
  5. Step 5: Solve for x
    x = 67,188,874,533.12/288,168
  6. Step 6: Final answer
    x = 233,158.69

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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.