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Finding the Fourth Proportional to 218,953.44, 327,610 and 155,919.20

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Solution

The fourth proportional to 218,953.44, 327,610 and 155,919.20 is: 233,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,953.44 : 327,610 = 155,919.20 : x
  2. Step 2: Convert to fraction form
    218,953.44/327,610 = 155,919.20/x
  3. Step 3: Cross multiply
    218,953.44x = 327,610 × 155,919.20
  4. Step 4: Simplify right side
    218,953.44x = 51,080,689,112
  5. Step 5: Solve for x
    x = 51,080,689,112/218,953.44
  6. Step 6: Final answer
    x = 233,294.75

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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.