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Finding the Fourth Proportional to 347,376, 479,378.88 and 196,469.76

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Solution

The fourth proportional to 347,376, 479,378.88 and 196,469.76 is: 271,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,376 : 479,378.88 = 196,469.76 : x
  2. Step 2: Convert to fraction form
    347,376/479,378.88 = 196,469.76/x
  3. Step 3: Cross multiply
    347,376x = 479,378.88 × 196,469.76
  4. Step 4: Simplify right side
    347,376x = 94,183,453,502.67
  5. Step 5: Solve for x
    x = 94,183,453,502.67/347,376
  6. Step 6: Final answer
    x = 271,128.27

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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.