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Finding the Fourth Proportional to 419,906,411.20, 629,859,616.80 and 267,229,316.80

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Solution

The fourth proportional to 419,906,411.20, 629,859,616.80 and 267,229,316.80 is: 400,843,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,411.20 : 629,859,616.80 = 267,229,316.80 : x
  2. Step 2: Convert to fraction form
    419,906,411.20/629,859,616.80 = 267,229,316.80/x
  3. Step 3: Cross multiply
    419,906,411.20x = 629,859,616.80 × 267,229,316.80
  4. Step 4: Simplify right side
    419,906,411.20x = 168,316,955,077,373,792
  5. Step 5: Solve for x
    x = 168,316,955,077,373,792/419,906,411.20
  6. Step 6: Final answer
    x = 400,843,975.20

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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.