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Finding the Fourth Proportional to 218,246.40, 327,369.60 and 214,747.20

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Solution

The fourth proportional to 218,246.40, 327,369.60 and 214,747.20 is: 322,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,246.40 : 327,369.60 = 214,747.20 : x
  2. Step 2: Convert to fraction form
    218,246.40/327,369.60 = 214,747.20/x
  3. Step 3: Cross multiply
    218,246.40x = 327,369.60 × 214,747.20
  4. Step 4: Simplify right side
    218,246.40x = 70,301,704,965.12
  5. Step 5: Solve for x
    x = 70,301,704,965.12/218,246.40
  6. Step 6: Final answer
    x = 322,120.80

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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.