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Finding the Fourth Proportional to 318,736.80, 477,883.80 and 141,147

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Solution

The fourth proportional to 318,736.80, 477,883.80 and 141,147 is: 211,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,736.80 : 477,883.80 = 141,147 : x
  2. Step 2: Convert to fraction form
    318,736.80/477,883.80 = 141,147/x
  3. Step 3: Cross multiply
    318,736.80x = 477,883.80 × 141,147
  4. Step 4: Simplify right side
    318,736.80x = 67,451,864,718.60
  5. Step 5: Solve for x
    x = 67,451,864,718.60/318,736.80
  6. Step 6: Final answer
    x = 211,622.46

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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.