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Finding the Fourth Proportional to 218,512,998.90, 327,769,498.35 and 149,638,245.30

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Solution

The fourth proportional to 218,512,998.90, 327,769,498.35 and 149,638,245.30 is: 224,457,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,512,998.90 : 327,769,498.35 = 149,638,245.30 : x
  2. Step 2: Convert to fraction form
    218,512,998.90/327,769,498.35 = 149,638,245.30/x
  3. Step 3: Cross multiply
    218,512,998.90x = 327,769,498.35 × 149,638,245.30
  4. Step 4: Simplify right side
    218,512,998.90x = 49,046,852,595,955,256
  5. Step 5: Solve for x
    x = 49,046,852,595,955,256/218,512,998.90
  6. Step 6: Final answer
    x = 224,457,367.95

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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.