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Finding the Fourth Proportional to 218,231.20, 327,346.80 and 77,994.40

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Solution

The fourth proportional to 218,231.20, 327,346.80 and 77,994.40 is: 116,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,231.20 : 327,346.80 = 77,994.40 : x
  2. Step 2: Convert to fraction form
    218,231.20/327,346.80 = 77,994.40/x
  3. Step 3: Cross multiply
    218,231.20x = 327,346.80 × 77,994.40
  4. Step 4: Simplify right side
    218,231.20x = 25,531,217,257.92
  5. Step 5: Solve for x
    x = 25,531,217,257.92/218,231.20
  6. Step 6: Final answer
    x = 116,991.60

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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.