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Finding the Fourth Proportional to 301,138.02, 415,571.07 and 165,173.09

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Solution

The fourth proportional to 301,138.02, 415,571.07 and 165,173.09 is: 227,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,138.02 : 415,571.07 = 165,173.09 : x
  2. Step 2: Convert to fraction form
    301,138.02/415,571.07 = 165,173.09/x
  3. Step 3: Cross multiply
    301,138.02x = 415,571.07 × 165,173.09
  4. Step 4: Simplify right side
    301,138.02x = 68,641,155,668.65
  5. Step 5: Solve for x
    x = 68,641,155,668.65/301,138.02
  6. Step 6: Final answer
    x = 227,939.19

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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.