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Finding the Fourth Proportional to 412,704.60, 569,768.31 and 315,729.78

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Solution

The fourth proportional to 412,704.60, 569,768.31 and 315,729.78 is: 435,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,704.60 : 569,768.31 = 315,729.78 : x
  2. Step 2: Convert to fraction form
    412,704.60/569,768.31 = 315,729.78/x
  3. Step 3: Cross multiply
    412,704.60x = 569,768.31 × 315,729.78
  4. Step 4: Simplify right side
    412,704.60x = 179,892,823,167.27
  5. Step 5: Solve for x
    x = 179,892,823,167.27/412,704.60
  6. Step 6: Final answer
    x = 435,887.61

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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.