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Finding the Fourth Proportional to 218,378.40, 327,740.40 and 85,322.40

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Solution

The fourth proportional to 218,378.40, 327,740.40 and 85,322.40 is: 128,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,378.40 : 327,740.40 = 85,322.40 : x
  2. Step 2: Convert to fraction form
    218,378.40/327,740.40 = 85,322.40/x
  3. Step 3: Cross multiply
    218,378.40x = 327,740.40 × 85,322.40
  4. Step 4: Simplify right side
    218,378.40x = 27,963,597,504.96
  5. Step 5: Solve for x
    x = 27,963,597,504.96/218,378.40
  6. Step 6: Final answer
    x = 128,051.11

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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.