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Finding the Fourth Proportional to 685,689,072, 1,028,806,122.24 and 219,422,330.88

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Solution

The fourth proportional to 685,689,072, 1,028,806,122.24 and 219,422,330.88 is: 329,220,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,689,072 : 1,028,806,122.24 = 219,422,330.88 : x
  2. Step 2: Convert to fraction form
    685,689,072/1,028,806,122.24 = 219,422,330.88/x
  3. Step 3: Cross multiply
    685,689,072x = 1,028,806,122.24 × 219,422,330.88
  4. Step 4: Simplify right side
    685,689,072x = 225,743,037,365,515,008
  5. Step 5: Solve for x
    x = 225,743,037,365,515,008/685,689,072
  6. Step 6: Final answer
    x = 329,220,701.60

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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.