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Finding the Fourth Proportional to 298,461.76, 447,540.60 and 146,668.96

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Solution

The fourth proportional to 298,461.76, 447,540.60 and 146,668.96 is: 219,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.76 : 447,540.60 = 146,668.96 : x
  2. Step 2: Convert to fraction form
    298,461.76/447,540.60 = 146,668.96/x
  3. Step 3: Cross multiply
    298,461.76x = 447,540.60 × 146,668.96
  4. Step 4: Simplify right side
    298,461.76x = 65,640,314,359.78
  5. Step 5: Solve for x
    x = 65,640,314,359.78/298,461.76
  6. Step 6: Final answer
    x = 219,928.73

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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.