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Finding the Fourth Proportional to 645,908.70, 967,113.45 and 505,940.70

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Solution

The fourth proportional to 645,908.70, 967,113.45 and 505,940.70 is: 757,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,908.70 : 967,113.45 = 505,940.70 : x
  2. Step 2: Convert to fraction form
    645,908.70/967,113.45 = 505,940.70/x
  3. Step 3: Cross multiply
    645,908.70x = 967,113.45 × 505,940.70
  4. Step 4: Simplify right side
    645,908.70x = 489,302,055,872.42
  5. Step 5: Solve for x
    x = 489,302,055,872.42/645,908.70
  6. Step 6: Final answer
    x = 757,540.59

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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.