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Finding the Fourth Proportional to 645,988.50, 968,991.39 and 202,756.50

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Solution

The fourth proportional to 645,988.50, 968,991.39 and 202,756.50 is: 304,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988.50 : 968,991.39 = 202,756.50 : x
  2. Step 2: Convert to fraction form
    645,988.50/968,991.39 = 202,756.50/x
  3. Step 3: Cross multiply
    645,988.50x = 968,991.39 × 202,756.50
  4. Step 4: Simplify right side
    645,988.50x = 196,469,302,766.54
  5. Step 5: Solve for x
    x = 196,469,302,766.54/645,988.50
  6. Step 6: Final answer
    x = 304,137.46

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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.