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Finding the Fourth Proportional to 422,328.60, 632,609.70 and 197,880.60

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Solution

The fourth proportional to 422,328.60, 632,609.70 and 197,880.60 is: 296,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,328.60 : 632,609.70 = 197,880.60 : x
  2. Step 2: Convert to fraction form
    422,328.60/632,609.70 = 197,880.60/x
  3. Step 3: Cross multiply
    422,328.60x = 632,609.70 × 197,880.60
  4. Step 4: Simplify right side
    422,328.60x = 125,181,187,001.82
  5. Step 5: Solve for x
    x = 125,181,187,001.82/422,328.60
  6. Step 6: Final answer
    x = 296,407.08

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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.