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Finding the Fourth Proportional to 218,392.56, 327,667.65 and 76,258.77

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Solution

The fourth proportional to 218,392.56, 327,667.65 and 76,258.77 is: 114,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,392.56 : 327,667.65 = 76,258.77 : x
  2. Step 2: Convert to fraction form
    218,392.56/327,667.65 = 76,258.77/x
  3. Step 3: Cross multiply
    218,392.56x = 327,667.65 × 76,258.77
  4. Step 4: Simplify right side
    218,392.56x = 24,987,531,957.79
  5. Step 5: Solve for x
    x = 24,987,531,957.79/218,392.56
  6. Step 6: Final answer
    x = 114,415.67

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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.