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Finding the Fourth Proportional to 447,162.54, 669,956.46 and 420,524.88

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Solution

The fourth proportional to 447,162.54, 669,956.46 and 420,524.88 is: 630,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,162.54 : 669,956.46 = 420,524.88 : x
  2. Step 2: Convert to fraction form
    447,162.54/669,956.46 = 420,524.88/x
  3. Step 3: Cross multiply
    447,162.54x = 669,956.46 × 420,524.88
  4. Step 4: Simplify right side
    447,162.54x = 281,733,359,946.73
  5. Step 5: Solve for x
    x = 281,733,359,946.73/447,162.54
  6. Step 6: Final answer
    x = 630,046.87

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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.