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Finding the Fourth Proportional to 382,676.40, 574,014.60 and 329,532.30

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Solution

The fourth proportional to 382,676.40, 574,014.60 and 329,532.30 is: 494,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,676.40 : 574,014.60 = 329,532.30 : x
  2. Step 2: Convert to fraction form
    382,676.40/574,014.60 = 329,532.30/x
  3. Step 3: Cross multiply
    382,676.40x = 574,014.60 × 329,532.30
  4. Step 4: Simplify right side
    382,676.40x = 189,156,351,371.58
  5. Step 5: Solve for x
    x = 189,156,351,371.58/382,676.40
  6. Step 6: Final answer
    x = 494,298.45

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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.