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Finding the Fourth Proportional to 205,679.55, 308,519.33 and 164,207.55

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Solution

The fourth proportional to 205,679.55, 308,519.33 and 164,207.55 is: 246,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,679.55 : 308,519.33 = 164,207.55 : x
  2. Step 2: Convert to fraction form
    205,679.55/308,519.33 = 164,207.55/x
  3. Step 3: Cross multiply
    205,679.55x = 308,519.33 × 164,207.55
  4. Step 4: Simplify right side
    205,679.55x = 50,661,202,485.90
  5. Step 5: Solve for x
    x = 50,661,202,485.90/205,679.55
  6. Step 6: Final answer
    x = 246,311.33

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1.5x scale

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.