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Finding the Fourth Proportional to 218,320.40, 327,653.40 and 85,264.40

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Solution

The fourth proportional to 218,320.40, 327,653.40 and 85,264.40 is: 127,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,320.40 : 327,653.40 = 85,264.40 : x
  2. Step 2: Convert to fraction form
    218,320.40/327,653.40 = 85,264.40/x
  3. Step 3: Cross multiply
    218,320.40x = 327,653.40 × 85,264.40
  4. Step 4: Simplify right side
    218,320.40x = 27,937,170,558.96
  5. Step 5: Solve for x
    x = 27,937,170,558.96/218,320.40
  6. Step 6: Final answer
    x = 127,964.09

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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.