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Finding the Fourth Proportional to 317,028.50, 475,748.82 and 137,289.46

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Solution

The fourth proportional to 317,028.50, 475,748.82 and 137,289.46 is: 206,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,028.50 : 475,748.82 = 137,289.46 : x
  2. Step 2: Convert to fraction form
    317,028.50/475,748.82 = 137,289.46/x
  3. Step 3: Cross multiply
    317,028.50x = 475,748.82 × 137,289.46
  4. Step 4: Simplify right side
    317,028.50x = 65,315,298,593.44
  5. Step 5: Solve for x
    x = 65,315,298,593.44/317,028.50
  6. Step 6: Final answer
    x = 206,023.43

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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.