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Finding the Fourth Proportional to 413,524.40, 620,286.60 and 271,806.80

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Solution

The fourth proportional to 413,524.40, 620,286.60 and 271,806.80 is: 407,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,524.40 : 620,286.60 = 271,806.80 : x
  2. Step 2: Convert to fraction form
    413,524.40/620,286.60 = 271,806.80/x
  3. Step 3: Cross multiply
    413,524.40x = 620,286.60 × 271,806.80
  4. Step 4: Simplify right side
    413,524.40x = 168,598,115,828.88
  5. Step 5: Solve for x
    x = 168,598,115,828.88/413,524.40
  6. Step 6: Final answer
    x = 407,710.20

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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.