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Finding the Fourth Proportional to 347,199, 479,137.50 and 188,223

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Solution

The fourth proportional to 347,199, 479,137.50 and 188,223 is: 259,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,199 : 479,137.50 = 188,223 : x
  2. Step 2: Convert to fraction form
    347,199/479,137.50 = 188,223/x
  3. Step 3: Cross multiply
    347,199x = 479,137.50 × 188,223
  4. Step 4: Simplify right side
    347,199x = 90,184,697,662.50
  5. Step 5: Solve for x
    x = 90,184,697,662.50/347,199
  6. Step 6: Final answer
    x = 259,749.30

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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.