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Finding the Fourth Proportional to 1,151,949,728, 1,728,259,222.48 and 415,005,610.88

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Solution

The fourth proportional to 1,151,949,728, 1,728,259,222.48 and 415,005,610.88 is: 622,628,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,949,728 : 1,728,259,222.48 = 415,005,610.88 : x
  2. Step 2: Convert to fraction form
    1,151,949,728/1,728,259,222.48 = 415,005,610.88/x
  3. Step 3: Cross multiply
    1,151,949,728x = 1,728,259,222.48 × 415,005,610.88
  4. Step 4: Simplify right side
    1,151,949,728x = 717,237,274,384,306,176
  5. Step 5: Solve for x
    x = 717,237,274,384,306,176/1,151,949,728
  6. Step 6: Final answer
    x = 622,628,971.52

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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.