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Finding the Fourth Proportional to 299,613,615.20, 449,420,422.80 and 208,839,701.60

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Solution

The fourth proportional to 299,613,615.20, 449,420,422.80 and 208,839,701.60 is: 313,259,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,613,615.20 : 449,420,422.80 = 208,839,701.60 : x
  2. Step 2: Convert to fraction form
    299,613,615.20/449,420,422.80 = 208,839,701.60/x
  3. Step 3: Cross multiply
    299,613,615.20x = 449,420,422.80 × 208,839,701.60
  4. Step 4: Simplify right side
    299,613,615.20x = 93,856,826,990,497,840
  5. Step 5: Solve for x
    x = 93,856,826,990,497,840/299,613,615.20
  6. Step 6: Final answer
    x = 313,259,552.40

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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.