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Finding the Fourth Proportional to 298,855.85, 412,418.45 and 162,889.80

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Solution

The fourth proportional to 298,855.85, 412,418.45 and 162,889.80 is: 224,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,855.85 : 412,418.45 = 162,889.80 : x
  2. Step 2: Convert to fraction form
    298,855.85/412,418.45 = 162,889.80/x
  3. Step 3: Cross multiply
    298,855.85x = 412,418.45 × 162,889.80
  4. Step 4: Simplify right side
    298,855.85x = 67,178,758,022.36
  5. Step 5: Solve for x
    x = 67,178,758,022.36/298,855.85
  6. Step 6: Final answer
    x = 224,786.50

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1.5x scale

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.