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Finding the Fourth Proportional to 218,415.40, 327,623.10 and 148,431.40

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Solution

The fourth proportional to 218,415.40, 327,623.10 and 148,431.40 is: 222,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.40 : 327,623.10 = 148,431.40 : x
  2. Step 2: Convert to fraction form
    218,415.40/327,623.10 = 148,431.40/x
  3. Step 3: Cross multiply
    218,415.40x = 327,623.10 × 148,431.40
  4. Step 4: Simplify right side
    218,415.40x = 48,629,555,405.34
  5. Step 5: Solve for x
    x = 48,629,555,405.34/218,415.40
  6. Step 6: Final answer
    x = 222,647.10

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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.