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Finding the Fourth Proportional to 278,866.12, 384,891.12 and 165,667

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Solution

The fourth proportional to 278,866.12, 384,891.12 and 165,667 is: 228,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,866.12 : 384,891.12 = 165,667 : x
  2. Step 2: Convert to fraction form
    278,866.12/384,891.12 = 165,667/x
  3. Step 3: Cross multiply
    278,866.12x = 384,891.12 × 165,667
  4. Step 4: Simplify right side
    278,866.12x = 63,763,757,177.04
  5. Step 5: Solve for x
    x = 63,763,757,177.04/278,866.12
  6. Step 6: Final answer
    x = 228,653.65

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1.5x scale

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.