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Finding the Fourth Proportional to 304,085,428.53, 419,984,311.41 and 206,130,223.41

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Solution

The fourth proportional to 304,085,428.53, 419,984,311.41 and 206,130,223.41 is: 284,694,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,085,428.53 : 419,984,311.41 = 206,130,223.41 : x
  2. Step 2: Convert to fraction form
    304,085,428.53/419,984,311.41 = 206,130,223.41/x
  3. Step 3: Cross multiply
    304,085,428.53x = 419,984,311.41 × 206,130,223.41
  4. Step 4: Simplify right side
    304,085,428.53x = 86,571,459,939,638,320
  5. Step 5: Solve for x
    x = 86,571,459,939,638,320/304,085,428.53
  6. Step 6: Final answer
    x = 284,694,535.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.