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Finding the Fourth Proportional to 445,902.20, 668,443.80 and 193,023.44

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Solution

The fourth proportional to 445,902.20, 668,443.80 and 193,023.44 is: 289,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,902.20 : 668,443.80 = 193,023.44 : x
  2. Step 2: Convert to fraction form
    445,902.20/668,443.80 = 193,023.44/x
  3. Step 3: Cross multiply
    445,902.20x = 668,443.80 × 193,023.44
  4. Step 4: Simplify right side
    445,902.20x = 129,025,321,722.67
  5. Step 5: Solve for x
    x = 129,025,321,722.67/445,902.20
  6. Step 6: Final answer
    x = 289,357.89

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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.