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Finding the Fourth Proportional to 298,696.91, 447,861.42 and 146,700.68

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Solution

The fourth proportional to 298,696.91, 447,861.42 and 146,700.68 is: 219,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,696.91 : 447,861.42 = 146,700.68 : x
  2. Step 2: Convert to fraction form
    298,696.91/447,861.42 = 146,700.68/x
  3. Step 3: Cross multiply
    298,696.91x = 447,861.42 × 146,700.68
  4. Step 4: Simplify right side
    298,696.91x = 65,701,572,620.46
  5. Step 5: Solve for x
    x = 65,701,572,620.46/298,696.91
  6. Step 6: Final answer
    x = 219,960.67

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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.