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Finding the Fourth Proportional to 412,170.78, 568,297.98 and 320,316.78

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Solution

The fourth proportional to 412,170.78, 568,297.98 and 320,316.78 is: 441,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,170.78 : 568,297.98 = 320,316.78 : x
  2. Step 2: Convert to fraction form
    412,170.78/568,297.98 = 320,316.78/x
  3. Step 3: Cross multiply
    412,170.78x = 568,297.98 × 320,316.78
  4. Step 4: Simplify right side
    412,170.78x = 182,035,379,034.10
  5. Step 5: Solve for x
    x = 182,035,379,034.10/412,170.78
  6. Step 6: Final answer
    x = 441,650.37

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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.