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Finding the Fourth Proportional to 313,321.44, 469,965.60 and 193,401.12

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Solution

The fourth proportional to 313,321.44, 469,965.60 and 193,401.12 is: 290,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,321.44 : 469,965.60 = 193,401.12 : x
  2. Step 2: Convert to fraction form
    313,321.44/469,965.60 = 193,401.12/x
  3. Step 3: Cross multiply
    313,321.44x = 469,965.60 × 193,401.12
  4. Step 4: Simplify right side
    313,321.44x = 90,891,873,401.47
  5. Step 5: Solve for x
    x = 90,891,873,401.47/313,321.44
  6. Step 6: Final answer
    x = 290,091.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.