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Finding the Fourth Proportional to 408,439,847.82, 612,784,576.53 and 244,859,712.78

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Solution

The fourth proportional to 408,439,847.82, 612,784,576.53 and 244,859,712.78 is: 367,364,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,439,847.82 : 612,784,576.53 = 244,859,712.78 : x
  2. Step 2: Convert to fraction form
    408,439,847.82/612,784,576.53 = 244,859,712.78/x
  3. Step 3: Cross multiply
    408,439,847.82x = 612,784,576.53 × 244,859,712.78
  4. Step 4: Simplify right side
    408,439,847.82x = 150,046,255,405,149,728
  5. Step 5: Solve for x
    x = 150,046,255,405,149,728/408,439,847.82
  6. Step 6: Final answer
    x = 367,364,389.65

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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.