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Finding the Fourth Proportional to 317,105.92, 437,544.56 and 188,020.54

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Solution

The fourth proportional to 317,105.92, 437,544.56 and 188,020.54 is: 259,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,105.92 : 437,544.56 = 188,020.54 : x
  2. Step 2: Convert to fraction form
    317,105.92/437,544.56 = 188,020.54/x
  3. Step 3: Cross multiply
    317,105.92x = 437,544.56 × 188,020.54
  4. Step 4: Simplify right side
    317,105.92x = 82,267,364,445.26
  5. Step 5: Solve for x
    x = 82,267,364,445.26/317,105.92
  6. Step 6: Final answer
    x = 259,431.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.