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Finding the Fourth Proportional to 215,356.33, 320,824.50 and 205,640.93

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Solution

The fourth proportional to 215,356.33, 320,824.50 and 205,640.93 is: 306,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,356.33 : 320,824.50 = 205,640.93 : x
  2. Step 2: Convert to fraction form
    215,356.33/320,824.50 = 205,640.93/x
  3. Step 3: Cross multiply
    215,356.33x = 320,824.50 × 205,640.93
  4. Step 4: Simplify right side
    215,356.33x = 65,974,647,518.58
  5. Step 5: Solve for x
    x = 65,974,647,518.58/215,356.33
  6. Step 6: Final answer
    x = 306,351.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.