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Finding the Fourth Proportional to 422,334.02, 633,709.20 and 197,709.68

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Solution

The fourth proportional to 422,334.02, 633,709.20 and 197,709.68 is: 296,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,334.02 : 633,709.20 = 197,709.68 : x
  2. Step 2: Convert to fraction form
    422,334.02/633,709.20 = 197,709.68/x
  3. Step 3: Cross multiply
    422,334.02x = 633,709.20 × 197,709.68
  4. Step 4: Simplify right side
    422,334.02x = 125,290,443,145.06
  5. Step 5: Solve for x
    x = 125,290,443,145.06/422,334.02
  6. Step 6: Final answer
    x = 296,661.97

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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.