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Finding the Fourth Proportional to 218,312, 327,571.68 and 70,568

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Solution

The fourth proportional to 218,312, 327,571.68 and 70,568 is: 105,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,312 : 327,571.68 = 70,568 : x
  2. Step 2: Convert to fraction form
    218,312/327,571.68 = 70,568/x
  3. Step 3: Cross multiply
    218,312x = 327,571.68 × 70,568
  4. Step 4: Simplify right side
    218,312x = 23,116,078,314.24
  5. Step 5: Solve for x
    x = 23,116,078,314.24/218,312
  6. Step 6: Final answer
    x = 105,885.51

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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.