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Finding the Fourth Proportional to 647,120,620.80, 970,680,931.20 and 449,105,704.20

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Solution

The fourth proportional to 647,120,620.80, 970,680,931.20 and 449,105,704.20 is: 673,658,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,120,620.80 : 970,680,931.20 = 449,105,704.20 : x
  2. Step 2: Convert to fraction form
    647,120,620.80/970,680,931.20 = 449,105,704.20/x
  3. Step 3: Cross multiply
    647,120,620.80x = 970,680,931.20 × 449,105,704.20
  4. Step 4: Simplify right side
    647,120,620.80x = 435,938,343,160,087,744
  5. Step 5: Solve for x
    x = 435,938,343,160,087,744/647,120,620.80
  6. Step 6: Final answer
    x = 673,658,556.30

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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.