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Finding the Fourth Proportional to 722,308,706.73, 996,847,491.21 and 409,098,638.97

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Solution

The fourth proportional to 722,308,706.73, 996,847,491.21 and 409,098,638.97 is: 564,590,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,706.73 : 996,847,491.21 = 409,098,638.97 : x
  2. Step 2: Convert to fraction form
    722,308,706.73/996,847,491.21 = 409,098,638.97/x
  3. Step 3: Cross multiply
    722,308,706.73x = 996,847,491.21 × 409,098,638.97
  4. Step 4: Simplify right side
    722,308,706.73x = 407,808,951,914,670,080
  5. Step 5: Solve for x
    x = 407,808,951,914,670,080/722,308,706.73
  6. Step 6: Final answer
    x = 564,590,940.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.