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Finding the Fourth Proportional to 664,260.78, 996,558.03 and 190,947

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Solution

The fourth proportional to 664,260.78, 996,558.03 and 190,947 is: 286,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,260.78 : 996,558.03 = 190,947 : x
  2. Step 2: Convert to fraction form
    664,260.78/996,558.03 = 190,947/x
  3. Step 3: Cross multiply
    664,260.78x = 996,558.03 × 190,947
  4. Step 4: Simplify right side
    664,260.78x = 190,289,766,154.41
  5. Step 5: Solve for x
    x = 190,289,766,154.41/664,260.78
  6. Step 6: Final answer
    x = 286,468.47

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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.