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Finding the Fourth Proportional to 298,383.40, 447,720.90 and 140,584.60

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Solution

The fourth proportional to 298,383.40, 447,720.90 and 140,584.60 is: 210,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,383.40 : 447,720.90 = 140,584.60 : x
  2. Step 2: Convert to fraction form
    298,383.40/447,720.90 = 140,584.60/x
  3. Step 3: Cross multiply
    298,383.40x = 447,720.90 × 140,584.60
  4. Step 4: Simplify right side
    298,383.40x = 62,942,663,638.14
  5. Step 5: Solve for x
    x = 62,942,663,638.14/298,383.40
  6. Step 6: Final answer
    x = 210,945.59

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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.