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Finding the Fourth Proportional to 306,884.70, 461,311.20 and 218,748.60

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Solution

The fourth proportional to 306,884.70, 461,311.20 and 218,748.60 is: 328,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,884.70 : 461,311.20 = 218,748.60 : x
  2. Step 2: Convert to fraction form
    306,884.70/461,311.20 = 218,748.60/x
  3. Step 3: Cross multiply
    306,884.70x = 461,311.20 × 218,748.60
  4. Step 4: Simplify right side
    306,884.70x = 100,911,179,164.32
  5. Step 5: Solve for x
    x = 100,911,179,164.32/306,884.70
  6. Step 6: Final answer
    x = 328,824.41

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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.