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Finding the Fourth Proportional to 646,949, 969,350.46 and 393,462.68

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Solution

The fourth proportional to 646,949, 969,350.46 and 393,462.68 is: 589,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,949 : 969,350.46 = 393,462.68 : x
  2. Step 2: Convert to fraction form
    646,949/969,350.46 = 393,462.68/x
  3. Step 3: Cross multiply
    646,949x = 969,350.46 × 393,462.68
  4. Step 4: Simplify right side
    646,949x = 381,403,229,850.83
  5. Step 5: Solve for x
    x = 381,403,229,850.83/646,949
  6. Step 6: Final answer
    x = 589,541.42

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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.