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Finding the Fourth Proportional to 305,970.98, 422,109.16 and 191,171.42

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Solution

The fourth proportional to 305,970.98, 422,109.16 and 191,171.42 is: 263,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,970.98 : 422,109.16 = 191,171.42 : x
  2. Step 2: Convert to fraction form
    305,970.98/422,109.16 = 191,171.42/x
  3. Step 3: Cross multiply
    305,970.98x = 422,109.16 × 191,171.42
  4. Step 4: Simplify right side
    305,970.98x = 80,695,206,556.35
  5. Step 5: Solve for x
    x = 80,695,206,556.35/305,970.98
  6. Step 6: Final answer
    x = 263,734.84

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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.