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Finding the Fourth Proportional to 318,470.64, 477,604.56 and 105,198.96

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Solution

The fourth proportional to 318,470.64, 477,604.56 and 105,198.96 is: 157,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,470.64 : 477,604.56 = 105,198.96 : x
  2. Step 2: Convert to fraction form
    318,470.64/477,604.56 = 105,198.96/x
  3. Step 3: Cross multiply
    318,470.64x = 477,604.56 × 105,198.96
  4. Step 4: Simplify right side
    318,470.64x = 50,243,503,003.26
  5. Step 5: Solve for x
    x = 50,243,503,003.26/318,470.64
  6. Step 6: Final answer
    x = 157,764.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.