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Finding the Fourth Proportional to 278,902.44, 384,918.12 and 165,725.28

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Solution

The fourth proportional to 278,902.44, 384,918.12 and 165,725.28 is: 228,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,902.44 : 384,918.12 = 165,725.28 : x
  2. Step 2: Convert to fraction form
    278,902.44/384,918.12 = 165,725.28/x
  3. Step 3: Cross multiply
    278,902.44x = 384,918.12 × 165,725.28
  4. Step 4: Simplify right side
    278,902.44x = 63,790,663,214.07
  5. Step 5: Solve for x
    x = 63,790,663,214.07/278,902.44
  6. Step 6: Final answer
    x = 228,720.35

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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.