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Finding the Fourth Proportional to 492,818,143.75, 739,953,902.40 and 274,894,266.31

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Solution

The fourth proportional to 492,818,143.75, 739,953,902.40 and 274,894,266.31 is: 412,746,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818,143.75 : 739,953,902.40 = 274,894,266.31 : x
  2. Step 2: Convert to fraction form
    492,818,143.75/739,953,902.40 = 274,894,266.31/x
  3. Step 3: Cross multiply
    492,818,143.75x = 739,953,902.40 × 274,894,266.31
  4. Step 4: Simplify right side
    492,818,143.75x = 203,409,085,103,469,344
  5. Step 5: Solve for x
    x = 203,409,085,103,469,344/492,818,143.75
  6. Step 6: Final answer
    x = 412,746,745.80

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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.