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Finding the Fourth Proportional to 347,232, 479,180.16 and 188,256

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Solution

The fourth proportional to 347,232, 479,180.16 and 188,256 is: 259,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,232 : 479,180.16 = 188,256 : x
  2. Step 2: Convert to fraction form
    347,232/479,180.16 = 188,256/x
  3. Step 3: Cross multiply
    347,232x = 479,180.16 × 188,256
  4. Step 4: Simplify right side
    347,232x = 90,208,540,200.96
  5. Step 5: Solve for x
    x = 90,208,540,200.96/347,232
  6. Step 6: Final answer
    x = 259,793.28

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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.