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Finding the Fourth Proportional to 422,325.60, 632,605.20 and 197,877.60

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Solution

The fourth proportional to 422,325.60, 632,605.20 and 197,877.60 is: 296,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,325.60 : 632,605.20 = 197,877.60 : x
  2. Step 2: Convert to fraction form
    422,325.60/632,605.20 = 197,877.60/x
  3. Step 3: Cross multiply
    422,325.60x = 632,605.20 × 197,877.60
  4. Step 4: Simplify right side
    422,325.60x = 125,178,398,723.52
  5. Step 5: Solve for x
    x = 125,178,398,723.52/422,325.60
  6. Step 6: Final answer
    x = 296,402.58

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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.