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Finding the Fourth Proportional to 218,322.40, 327,656.40 and 85,266.40

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Solution

The fourth proportional to 218,322.40, 327,656.40 and 85,266.40 is: 127,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322.40 : 327,656.40 = 85,266.40 : x
  2. Step 2: Convert to fraction form
    218,322.40/327,656.40 = 85,266.40/x
  3. Step 3: Cross multiply
    218,322.40x = 327,656.40 × 85,266.40
  4. Step 4: Simplify right side
    218,322.40x = 27,938,081,664.96
  5. Step 5: Solve for x
    x = 27,938,081,664.96/218,322.40
  6. Step 6: Final answer
    x = 127,967.09

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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.