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Finding the Fourth Proportional to 305,909.48, 422,183.60 and 185,080.44

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Solution

The fourth proportional to 305,909.48, 422,183.60 and 185,080.44 is: 255,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.48 : 422,183.60 = 185,080.44 : x
  2. Step 2: Convert to fraction form
    305,909.48/422,183.60 = 185,080.44/x
  3. Step 3: Cross multiply
    305,909.48x = 422,183.60 × 185,080.44
  4. Step 4: Simplify right side
    305,909.48x = 78,137,926,448.78
  5. Step 5: Solve for x
    x = 78,137,926,448.78/305,909.48
  6. Step 6: Final answer
    x = 255,428.26

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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.