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Finding the Fourth Proportional to 217,830.60, 326,940.30 and 188,281.80

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Solution

The fourth proportional to 217,830.60, 326,940.30 and 188,281.80 is: 282,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,830.60 : 326,940.30 = 188,281.80 : x
  2. Step 2: Convert to fraction form
    217,830.60/326,940.30 = 188,281.80/x
  3. Step 3: Cross multiply
    217,830.60x = 326,940.30 × 188,281.80
  4. Step 4: Simplify right side
    217,830.60x = 61,556,908,176.54
  5. Step 5: Solve for x
    x = 61,556,908,176.54/217,830.60
  6. Step 6: Final answer
    x = 282,590.73

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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.