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Finding the Fourth Proportional to 287,245.41, 396,391.46 and 158,182.87

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Solution

The fourth proportional to 287,245.41, 396,391.46 and 158,182.87 is: 218,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,245.41 : 396,391.46 = 158,182.87 : x
  2. Step 2: Convert to fraction form
    287,245.41/396,391.46 = 158,182.87/x
  3. Step 3: Cross multiply
    287,245.41x = 396,391.46 × 158,182.87
  4. Step 4: Simplify right side
    287,245.41x = 62,702,336,804.33
  5. Step 5: Solve for x
    x = 62,702,336,804.33/287,245.41
  6. Step 6: Final answer
    x = 218,288.39

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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.