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Finding the Fourth Proportional to 218,238.64, 327,356.64 and 56,132.40

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Solution

The fourth proportional to 218,238.64, 327,356.64 and 56,132.40 is: 84,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,238.64 : 327,356.64 = 56,132.40 : x
  2. Step 2: Convert to fraction form
    218,238.64/327,356.64 = 56,132.40/x
  3. Step 3: Cross multiply
    218,238.64x = 327,356.64 × 56,132.40
  4. Step 4: Simplify right side
    218,238.64x = 18,375,313,859.14
  5. Step 5: Solve for x
    x = 18,375,313,859.14/218,238.64
  6. Step 6: Final answer
    x = 84,198.26

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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.