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Finding the Fourth Proportional to 644,987.70, 967,149.72 and 289,696.86

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Solution

The fourth proportional to 644,987.70, 967,149.72 and 289,696.86 is: 434,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,987.70 : 967,149.72 = 289,696.86 : x
  2. Step 2: Convert to fraction form
    644,987.70/967,149.72 = 289,696.86/x
  3. Step 3: Cross multiply
    644,987.70x = 967,149.72 × 289,696.86
  4. Step 4: Simplify right side
    644,987.70x = 280,180,237,033.88
  5. Step 5: Solve for x
    x = 280,180,237,033.88/644,987.70
  6. Step 6: Final answer
    x = 434,396.25

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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.