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Finding the Fourth Proportional to 388,097,204.80, 582,145,807.20 and 194,038,571.20

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Solution

The fourth proportional to 388,097,204.80, 582,145,807.20 and 194,038,571.20 is: 291,057,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,097,204.80 : 582,145,807.20 = 194,038,571.20 : x
  2. Step 2: Convert to fraction form
    388,097,204.80/582,145,807.20 = 194,038,571.20/x
  3. Step 3: Cross multiply
    388,097,204.80x = 582,145,807.20 × 194,038,571.20
  4. Step 4: Simplify right side
    388,097,204.80x = 112,958,740,659,158,672
  5. Step 5: Solve for x
    x = 112,958,740,659,158,672/388,097,204.80
  6. Step 6: Final answer
    x = 291,057,856.80

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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.