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Finding the Fourth Proportional to 643,682.40, 965,523.60 and 408,069.60

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Solution

The fourth proportional to 643,682.40, 965,523.60 and 408,069.60 is: 612,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,682.40 : 965,523.60 = 408,069.60 : x
  2. Step 2: Convert to fraction form
    643,682.40/965,523.60 = 408,069.60/x
  3. Step 3: Cross multiply
    643,682.40x = 965,523.60 × 408,069.60
  4. Step 4: Simplify right side
    643,682.40x = 394,000,829,242.56
  5. Step 5: Solve for x
    x = 394,000,829,242.56/643,682.40
  6. Step 6: Final answer
    x = 612,104.40

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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.