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Finding the Fourth Proportional to 218,830.40, 328,375.20 and 159,516.80

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Solution

The fourth proportional to 218,830.40, 328,375.20 and 159,516.80 is: 239,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,830.40 : 328,375.20 = 159,516.80 : x
  2. Step 2: Convert to fraction form
    218,830.40/328,375.20 = 159,516.80/x
  3. Step 3: Cross multiply
    218,830.40x = 328,375.20 × 159,516.80
  4. Step 4: Simplify right side
    218,830.40x = 52,381,361,103.36
  5. Step 5: Solve for x
    x = 52,381,361,103.36/218,830.40
  6. Step 6: Final answer
    x = 239,369.67

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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.