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Finding the Fourth Proportional to 493,171.97, 680,577.46 and 278,357.54

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Solution

The fourth proportional to 493,171.97, 680,577.46 and 278,357.54 is: 384,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,171.97 : 680,577.46 = 278,357.54 : x
  2. Step 2: Convert to fraction form
    493,171.97/680,577.46 = 278,357.54/x
  3. Step 3: Cross multiply
    493,171.97x = 680,577.46 × 278,357.54
  4. Step 4: Simplify right side
    493,171.97x = 189,443,863,446.27
  5. Step 5: Solve for x
    x = 189,443,863,446.27/493,171.97
  6. Step 6: Final answer
    x = 384,133.48

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1.5x scale

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.