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Finding the Fourth Proportional to 422,178.80, 631,885.80 and 328,175.60

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Solution

The fourth proportional to 422,178.80, 631,885.80 and 328,175.60 is: 491,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,178.80 : 631,885.80 = 328,175.60 : x
  2. Step 2: Convert to fraction form
    422,178.80/631,885.80 = 328,175.60/x
  3. Step 3: Cross multiply
    422,178.80x = 631,885.80 × 328,175.60
  4. Step 4: Simplify right side
    422,178.80x = 207,369,501,546.48
  5. Step 5: Solve for x
    x = 207,369,501,546.48/422,178.80
  6. Step 6: Final answer
    x = 491,188.81

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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.