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Finding the Fourth Proportional to 218,084.60, 326,738.10 and 186,980.60

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Solution

The fourth proportional to 218,084.60, 326,738.10 and 186,980.60 is: 280,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,084.60 : 326,738.10 = 186,980.60 : x
  2. Step 2: Convert to fraction form
    218,084.60/326,738.10 = 186,980.60/x
  3. Step 3: Cross multiply
    218,084.60x = 326,738.10 × 186,980.60
  4. Step 4: Simplify right side
    218,084.60x = 61,093,685,980.86
  5. Step 5: Solve for x
    x = 61,093,685,980.86/218,084.60
  6. Step 6: Final answer
    x = 280,137.55

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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.