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Finding the Fourth Proportional to 393,669,871.20, 590,504,806.80 and 212,271,343.20

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Solution

The fourth proportional to 393,669,871.20, 590,504,806.80 and 212,271,343.20 is: 318,407,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,669,871.20 : 590,504,806.80 = 212,271,343.20 : x
  2. Step 2: Convert to fraction form
    393,669,871.20/590,504,806.80 = 212,271,343.20/x
  3. Step 3: Cross multiply
    393,669,871.20x = 590,504,806.80 × 212,271,343.20
  4. Step 4: Simplify right side
    393,669,871.20x = 125,347,248,505,492,480
  5. Step 5: Solve for x
    x = 125,347,248,505,492,480/393,669,871.20
  6. Step 6: Final answer
    x = 318,407,014.80

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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.