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Finding the Fourth Proportional to 326,943.77, 489,640.64 and 208,255.28

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Solution

The fourth proportional to 326,943.77, 489,640.64 and 208,255.28 is: 311,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,943.77 : 489,640.64 = 208,255.28 : x
  2. Step 2: Convert to fraction form
    326,943.77/489,640.64 = 208,255.28/x
  3. Step 3: Cross multiply
    326,943.77x = 489,640.64 × 208,255.28
  4. Step 4: Simplify right side
    326,943.77x = 101,970,245,093.10
  5. Step 5: Solve for x
    x = 101,970,245,093.10/326,943.77
  6. Step 6: Final answer
    x = 311,889.25

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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.