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Finding the Fourth Proportional to 306,651.41, 422,999.58 and 199,292.96

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Solution

The fourth proportional to 306,651.41, 422,999.58 and 199,292.96 is: 274,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,651.41 : 422,999.58 = 199,292.96 : x
  2. Step 2: Convert to fraction form
    306,651.41/422,999.58 = 199,292.96/x
  3. Step 3: Cross multiply
    306,651.41x = 422,999.58 × 199,292.96
  4. Step 4: Simplify right side
    306,651.41x = 84,300,838,376.96
  5. Step 5: Solve for x
    x = 84,300,838,376.96/306,651.41
  6. Step 6: Final answer
    x = 274,907.71

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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.