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Finding the Fourth Proportional to 289,399,725.80, 434,099,588.70 and 174,608,469.80

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Solution

The fourth proportional to 289,399,725.80, 434,099,588.70 and 174,608,469.80 is: 261,912,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399,725.80 : 434,099,588.70 = 174,608,469.80 : x
  2. Step 2: Convert to fraction form
    289,399,725.80/434,099,588.70 = 174,608,469.80/x
  3. Step 3: Cross multiply
    289,399,725.80x = 434,099,588.70 × 174,608,469.80
  4. Step 4: Simplify right side
    289,399,725.80x = 75,797,464,923,716,368
  5. Step 5: Solve for x
    x = 75,797,464,923,716,368/289,399,725.80
  6. Step 6: Final answer
    x = 261,912,704.70

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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.