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Finding the Fourth Proportional to 493,591.76, 681,151.36 and 278,719.28

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Solution

The fourth proportional to 493,591.76, 681,151.36 and 278,719.28 is: 384,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,591.76 : 681,151.36 = 278,719.28 : x
  2. Step 2: Convert to fraction form
    493,591.76/681,151.36 = 278,719.28/x
  3. Step 3: Cross multiply
    493,591.76x = 681,151.36 × 278,719.28
  4. Step 4: Simplify right side
    493,591.76x = 189,850,016,630.22
  5. Step 5: Solve for x
    x = 189,850,016,630.22/493,591.76
  6. Step 6: Final answer
    x = 384,629.63

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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.