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Finding the Fourth Proportional to 299,441,647.80, 449,162,471.70 and 255,603,670.20

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Solution

The fourth proportional to 299,441,647.80, 449,162,471.70 and 255,603,670.20 is: 383,405,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441,647.80 : 449,162,471.70 = 255,603,670.20 : x
  2. Step 2: Convert to fraction form
    299,441,647.80/449,162,471.70 = 255,603,670.20/x
  3. Step 3: Cross multiply
    299,441,647.80x = 449,162,471.70 × 255,603,670.20
  4. Step 4: Simplify right side
    299,441,647.80x = 114,807,576,282,623,632
  5. Step 5: Solve for x
    x = 114,807,576,282,623,632/299,441,647.80
  6. Step 6: Final answer
    x = 383,405,505.30

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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.