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Finding the Fourth Proportional to 313,819.60, 433,170.12 and 200,642.80

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Solution

The fourth proportional to 313,819.60, 433,170.12 and 200,642.80 is: 276,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,819.60 : 433,170.12 = 200,642.80 : x
  2. Step 2: Convert to fraction form
    313,819.60/433,170.12 = 200,642.80/x
  3. Step 3: Cross multiply
    313,819.60x = 433,170.12 × 200,642.80
  4. Step 4: Simplify right side
    313,819.60x = 86,912,465,753.14
  5. Step 5: Solve for x
    x = 86,912,465,753.14/313,819.60
  6. Step 6: Final answer
    x = 276,950.41

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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.