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Finding the Fourth Proportional to 347,200, 479,136 and 188,224

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Solution

The fourth proportional to 347,200, 479,136 and 188,224 is: 259,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,200 : 479,136 = 188,224 : x
  2. Step 2: Convert to fraction form
    347,200/479,136 = 188,224/x
  3. Step 3: Cross multiply
    347,200x = 479,136 × 188,224
  4. Step 4: Simplify right side
    347,200x = 90,184,894,464
  5. Step 5: Solve for x
    x = 90,184,894,464/347,200
  6. Step 6: Final answer
    x = 259,749.12

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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.