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Finding the Fourth Proportional to 394,752,136.80, 592,128,205.20 and 388,033,672.80

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Solution

The fourth proportional to 394,752,136.80, 592,128,205.20 and 388,033,672.80 is: 582,050,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,752,136.80 : 592,128,205.20 = 388,033,672.80 : x
  2. Step 2: Convert to fraction form
    394,752,136.80/592,128,205.20 = 388,033,672.80/x
  3. Step 3: Cross multiply
    394,752,136.80x = 592,128,205.20 × 388,033,672.80
  4. Step 4: Simplify right side
    394,752,136.80x = 229,765,682,232,228,096
  5. Step 5: Solve for x
    x = 229,765,682,232,228,096/394,752,136.80
  6. Step 6: Final answer
    x = 582,050,509.20

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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.