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Finding the Fourth Proportional to 298,704.20, 447,872.34 and 146,707.88

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Solution

The fourth proportional to 298,704.20, 447,872.34 and 146,707.88 is: 219,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,704.20 : 447,872.34 = 146,707.88 : x
  2. Step 2: Convert to fraction form
    298,704.20/447,872.34 = 146,707.88/x
  3. Step 3: Cross multiply
    298,704.20x = 447,872.34 × 146,707.88
  4. Step 4: Simplify right side
    298,704.20x = 65,706,401,512.04
  5. Step 5: Solve for x
    x = 65,706,401,512.04/298,704.20
  6. Step 6: Final answer
    x = 219,971.47

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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.