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Finding the Fourth Proportional to 489,872.70, 675,977.67 and 274,963.50

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Solution

The fourth proportional to 489,872.70, 675,977.67 and 274,963.50 is: 379,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,872.70 : 675,977.67 = 274,963.50 : x
  2. Step 2: Convert to fraction form
    489,872.70/675,977.67 = 274,963.50/x
  3. Step 3: Cross multiply
    489,872.70x = 675,977.67 × 274,963.50
  4. Step 4: Simplify right side
    489,872.70x = 185,869,186,065.05
  5. Step 5: Solve for x
    x = 185,869,186,065.05/489,872.70
  6. Step 6: Final answer
    x = 379,423.44

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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.