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Finding the Fourth Proportional to 326,627.24, 489,085.48 and 213,953

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Solution

The fourth proportional to 326,627.24, 489,085.48 and 213,953 is: 320,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,627.24 : 489,085.48 = 213,953 : x
  2. Step 2: Convert to fraction form
    326,627.24/489,085.48 = 213,953/x
  3. Step 3: Cross multiply
    326,627.24x = 489,085.48 × 213,953
  4. Step 4: Simplify right side
    326,627.24x = 104,641,305,702.44
  5. Step 5: Solve for x
    x = 104,641,305,702.44/326,627.24
  6. Step 6: Final answer
    x = 320,369.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.