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Finding the Fourth Proportional to 654,030, 980,515.44 and 204,519.36

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Solution

The fourth proportional to 654,030, 980,515.44 and 204,519.36 is: 306,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,030 : 980,515.44 = 204,519.36 : x
  2. Step 2: Convert to fraction form
    654,030/980,515.44 = 204,519.36/x
  3. Step 3: Cross multiply
    654,030x = 980,515.44 × 204,519.36
  4. Step 4: Simplify right side
    654,030x = 200,534,390,258.92
  5. Step 5: Solve for x
    x = 200,534,390,258.92/654,030
  6. Step 6: Final answer
    x = 306,613.44

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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.