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Finding the Fourth Proportional to 531,874,355.70, 733,978,949.15 and 293,729,616.75

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Solution

The fourth proportional to 531,874,355.70, 733,978,949.15 and 293,729,616.75 is: 405,342,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,874,355.70 : 733,978,949.15 = 293,729,616.75 : x
  2. Step 2: Convert to fraction form
    531,874,355.70/733,978,949.15 = 293,729,616.75/x
  3. Step 3: Cross multiply
    531,874,355.70x = 733,978,949.15 × 293,729,616.75
  4. Step 4: Simplify right side
    531,874,355.70x = 215,591,355,434,928,576
  5. Step 5: Solve for x
    x = 215,591,355,434,928,576/531,874,355.70
  6. Step 6: Final answer
    x = 405,342,639.90

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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.