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Finding the Fourth Proportional to 306,647.91, 422,994.75 and 199,289.45

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Solution

The fourth proportional to 306,647.91, 422,994.75 and 199,289.45 is: 274,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,647.91 : 422,994.75 = 199,289.45 : x
  2. Step 2: Convert to fraction form
    306,647.91/422,994.75 = 199,289.45/x
  3. Step 3: Cross multiply
    306,647.91x = 422,994.75 × 199,289.45
  4. Step 4: Simplify right side
    306,647.91x = 84,298,388,965.41
  5. Step 5: Solve for x
    x = 84,298,388,965.41/306,647.91
  6. Step 6: Final answer
    x = 274,902.86

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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.