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Finding the Fourth Proportional to 646,756.44, 969,399 and 393,478.62

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Solution

The fourth proportional to 646,756.44, 969,399 and 393,478.62 is: 589,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,756.44 : 969,399 = 393,478.62 : x
  2. Step 2: Convert to fraction form
    646,756.44/969,399 = 393,478.62/x
  3. Step 3: Cross multiply
    646,756.44x = 969,399 × 393,478.62
  4. Step 4: Simplify right side
    646,756.44x = 381,437,780,749.38
  5. Step 5: Solve for x
    x = 381,437,780,749.38/646,756.44
  6. Step 6: Final answer
    x = 589,770.36

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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.