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Finding the Fourth Proportional to 468,350.60, 646,339.49 and 287,027.50

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Solution

The fourth proportional to 468,350.60, 646,339.49 and 287,027.50 is: 396,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,350.60 : 646,339.49 = 287,027.50 : x
  2. Step 2: Convert to fraction form
    468,350.60/646,339.49 = 287,027.50/x
  3. Step 3: Cross multiply
    468,350.60x = 646,339.49 × 287,027.50
  4. Step 4: Simplify right side
    468,350.60x = 185,517,207,067.70
  5. Step 5: Solve for x
    x = 185,517,207,067.70/468,350.60
  6. Step 6: Final answer
    x = 396,107.54

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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.