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Finding the Fourth Proportional to 218,712.40, 327,809.40 and 113,477.20

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Solution

The fourth proportional to 218,712.40, 327,809.40 and 113,477.20 is: 170,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712.40 : 327,809.40 = 113,477.20 : x
  2. Step 2: Convert to fraction form
    218,712.40/327,809.40 = 113,477.20/x
  3. Step 3: Cross multiply
    218,712.40x = 327,809.40 × 113,477.20
  4. Step 4: Simplify right side
    218,712.40x = 37,198,892,845.68
  5. Step 5: Solve for x
    x = 37,198,892,845.68/218,712.40
  6. Step 6: Final answer
    x = 170,081.32

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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.