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Finding the Fourth Proportional to 217,471.20, 326,128.54 and 75,277.84

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Solution

The fourth proportional to 217,471.20, 326,128.54 and 75,277.84 is: 112,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,471.20 : 326,128.54 = 75,277.84 : x
  2. Step 2: Convert to fraction form
    217,471.20/326,128.54 = 75,277.84/x
  3. Step 3: Cross multiply
    217,471.20x = 326,128.54 × 75,277.84
  4. Step 4: Simplify right side
    217,471.20x = 24,550,252,053.55
  5. Step 5: Solve for x
    x = 24,550,252,053.55/217,471.20
  6. Step 6: Final answer
    x = 112,889.67

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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.