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Finding the Fourth Proportional to 313,474.20, 470,211.30 and 225,556.80

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Solution

The fourth proportional to 313,474.20, 470,211.30 and 225,556.80 is: 338,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,474.20 : 470,211.30 = 225,556.80 : x
  2. Step 2: Convert to fraction form
    313,474.20/470,211.30 = 225,556.80/x
  3. Step 3: Cross multiply
    313,474.20x = 470,211.30 × 225,556.80
  4. Step 4: Simplify right side
    313,474.20x = 106,059,356,151.84
  5. Step 5: Solve for x
    x = 106,059,356,151.84/313,474.20
  6. Step 6: Final answer
    x = 338,335.20

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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.