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Finding the Fourth Proportional to 213,093.80, 320,418.30 and 178,879.40

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Solution

The fourth proportional to 213,093.80, 320,418.30 and 178,879.40 is: 268,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093.80 : 320,418.30 = 178,879.40 : x
  2. Step 2: Convert to fraction form
    213,093.80/320,418.30 = 178,879.40/x
  3. Step 3: Cross multiply
    213,093.80x = 320,418.30 × 178,879.40
  4. Step 4: Simplify right side
    213,093.80x = 57,316,233,253.02
  5. Step 5: Solve for x
    x = 57,316,233,253.02/213,093.80
  6. Step 6: Final answer
    x = 268,971.85

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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.