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Finding the Fourth Proportional to 318,558.72, 477,946.72 and 200,091.36

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Solution

The fourth proportional to 318,558.72, 477,946.72 and 200,091.36 is: 300,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,558.72 : 477,946.72 = 200,091.36 : x
  2. Step 2: Convert to fraction form
    318,558.72/477,946.72 = 200,091.36/x
  3. Step 3: Cross multiply
    318,558.72x = 477,946.72 × 200,091.36
  4. Step 4: Simplify right side
    318,558.72x = 95,633,009,212.34
  5. Step 5: Solve for x
    x = 95,633,009,212.34/318,558.72
  6. Step 6: Final answer
    x = 300,205.28

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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.