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Finding the Fourth Proportional to 299,492,089.80, 449,238,134.70 and 200,856,640.20

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Solution

The fourth proportional to 299,492,089.80, 449,238,134.70 and 200,856,640.20 is: 301,284,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492,089.80 : 449,238,134.70 = 200,856,640.20 : x
  2. Step 2: Convert to fraction form
    299,492,089.80/449,238,134.70 = 200,856,640.20/x
  3. Step 3: Cross multiply
    299,492,089.80x = 449,238,134.70 × 200,856,640.20
  4. Step 4: Simplify right side
    299,492,089.80x = 90,232,462,385,557,024
  5. Step 5: Solve for x
    x = 90,232,462,385,557,024/299,492,089.80
  6. Step 6: Final answer
    x = 301,284,960.30

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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.