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Finding the Fourth Proportional to 422,208.72, 633,339 and 185,662.80

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Solution

The fourth proportional to 422,208.72, 633,339 and 185,662.80 is: 278,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,208.72 : 633,339 = 185,662.80 : x
  2. Step 2: Convert to fraction form
    422,208.72/633,339 = 185,662.80/x
  3. Step 3: Cross multiply
    422,208.72x = 633,339 × 185,662.80
  4. Step 4: Simplify right side
    422,208.72x = 117,587,492,089.20
  5. Step 5: Solve for x
    x = 117,587,492,089.20/422,208.72
  6. Step 6: Final answer
    x = 278,505.60

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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.