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Finding the Fourth Proportional to 493,944, 681,671.88 and 279,078.54

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Solution

The fourth proportional to 493,944, 681,671.88 and 279,078.54 is: 385,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,944 : 681,671.88 = 279,078.54 : x
  2. Step 2: Convert to fraction form
    493,944/681,671.88 = 279,078.54/x
  3. Step 3: Cross multiply
    493,944x = 681,671.88 × 279,078.54
  4. Step 4: Simplify right side
    493,944x = 190,239,993,029.46
  5. Step 5: Solve for x
    x = 190,239,993,029.46/493,944
  6. Step 6: Final answer
    x = 385,144.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.