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Finding the Fourth Proportional to 278,425.44, 384,052.32 and 165,168

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Solution

The fourth proportional to 278,425.44, 384,052.32 and 165,168 is: 227,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,425.44 : 384,052.32 = 165,168 : x
  2. Step 2: Convert to fraction form
    278,425.44/384,052.32 = 165,168/x
  3. Step 3: Cross multiply
    278,425.44x = 384,052.32 × 165,168
  4. Step 4: Simplify right side
    278,425.44x = 63,433,153,589.76
  5. Step 5: Solve for x
    x = 63,433,153,589.76/278,425.44
  6. Step 6: Final answer
    x = 227,828.15

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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.