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Finding the Fourth Proportional to 1,780,765,843.50, 2,457,751,580.51 and 988,067,201.31

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Solution

The fourth proportional to 1,780,765,843.50, 2,457,751,580.51 and 988,067,201.31 is: 1,363,696,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,765,843.50 : 2,457,751,580.51 = 988,067,201.31 : x
  2. Step 2: Convert to fraction form
    1,780,765,843.50/2,457,751,580.51 = 988,067,201.31/x
  3. Step 3: Cross multiply
    1,780,765,843.50x = 2,457,751,580.51 × 988,067,201.31
  4. Step 4: Simplify right side
    1,780,765,843.50x = 2,428,423,725,665,001,984
  5. Step 5: Solve for x
    x = 2,428,423,725,665,001,984/1,780,765,843.50
  6. Step 6: Final answer
    x = 1,363,696,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.