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Finding the Fourth Proportional to 218,526.72, 327,824.56 and 78,282.24

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Solution

The fourth proportional to 218,526.72, 327,824.56 and 78,282.24 is: 117,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,526.72 : 327,824.56 = 78,282.24 : x
  2. Step 2: Convert to fraction form
    218,526.72/327,824.56 = 78,282.24/x
  3. Step 3: Cross multiply
    218,526.72x = 327,824.56 × 78,282.24
  4. Step 4: Simplify right side
    218,526.72x = 25,662,840,883.81
  5. Step 5: Solve for x
    x = 25,662,840,883.81/218,526.72
  6. Step 6: Final answer
    x = 117,435.71

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1.5x scale

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.