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Finding the Fourth Proportional to 298,786.89, 412,325.93 and 162,820.80

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Solution

The fourth proportional to 298,786.89, 412,325.93 and 162,820.80 is: 224,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786.89 : 412,325.93 = 162,820.80 : x
  2. Step 2: Convert to fraction form
    298,786.89/412,325.93 = 162,820.80/x
  3. Step 3: Cross multiply
    298,786.89x = 412,325.93 × 162,820.80
  4. Step 4: Simplify right side
    298,786.89x = 67,135,237,274.53
  5. Step 5: Solve for x
    x = 67,135,237,274.53/298,786.89
  6. Step 6: Final answer
    x = 224,692.71

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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.