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Finding the Fourth Proportional to 493,771.90, 681,447.18 and 278,951.40

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Solution

The fourth proportional to 493,771.90, 681,447.18 and 278,951.40 is: 384,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,771.90 : 681,447.18 = 278,951.40 : x
  2. Step 2: Convert to fraction form
    493,771.90/681,447.18 = 278,951.40/x
  3. Step 3: Cross multiply
    493,771.90x = 681,447.18 × 278,951.40
  4. Step 4: Simplify right side
    493,771.90x = 190,090,644,887.05
  5. Step 5: Solve for x
    x = 190,090,644,887.05/493,771.90
  6. Step 6: Final answer
    x = 384,976.64

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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.