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Finding the Fourth Proportional to 318,059.72, 477,147.90 and 130,969.16

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Solution

The fourth proportional to 318,059.72, 477,147.90 and 130,969.16 is: 196,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,059.72 : 477,147.90 = 130,969.16 : x
  2. Step 2: Convert to fraction form
    318,059.72/477,147.90 = 130,969.16/x
  3. Step 3: Cross multiply
    318,059.72x = 477,147.90 × 130,969.16
  4. Step 4: Simplify right side
    318,059.72x = 62,491,659,658.76
  5. Step 5: Solve for x
    x = 62,491,659,658.76/318,059.72
  6. Step 6: Final answer
    x = 196,477.75

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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.