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Finding the Fourth Proportional to 299,092,912.20, 447,644,040.30 and 216,978,352.20

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Solution

The fourth proportional to 299,092,912.20, 447,644,040.30 and 216,978,352.20 is: 324,745,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092,912.20 : 447,644,040.30 = 216,978,352.20 : x
  2. Step 2: Convert to fraction form
    299,092,912.20/447,644,040.30 = 216,978,352.20/x
  3. Step 3: Cross multiply
    299,092,912.20x = 447,644,040.30 × 216,978,352.20
  4. Step 4: Simplify right side
    299,092,912.20x = 97,129,066,236,444,384
  5. Step 5: Solve for x
    x = 97,129,066,236,444,384/299,092,912.20
  6. Step 6: Final answer
    x = 324,745,462.95

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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.