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Finding the Fourth Proportional to 298,809.67, 412,357.41 and 162,843.65

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Solution

The fourth proportional to 298,809.67, 412,357.41 and 162,843.65 is: 224,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.67 : 412,357.41 = 162,843.65 : x
  2. Step 2: Convert to fraction form
    298,809.67/412,357.41 = 162,843.65/x
  3. Step 3: Cross multiply
    298,809.67x = 412,357.41 × 162,843.65
  4. Step 4: Simplify right side
    298,809.67x = 67,149,785,748.95
  5. Step 5: Solve for x
    x = 67,149,785,748.95/298,809.67
  6. Step 6: Final answer
    x = 224,724.27

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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.