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Finding the Fourth Proportional to 1,561,555,305.56, 2,342,720,640.42 and 774,978,117.38

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Solution

The fourth proportional to 1,561,555,305.56, 2,342,720,640.42 and 774,978,117.38 is: 1,162,659,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,555,305.56 : 2,342,720,640.42 = 774,978,117.38 : x
  2. Step 2: Convert to fraction form
    1,561,555,305.56/2,342,720,640.42 = 774,978,117.38/x
  3. Step 3: Cross multiply
    1,561,555,305.56x = 2,342,720,640.42 × 774,978,117.38
  4. Step 4: Simplify right side
    1,561,555,305.56x = 1,815,557,231,459,959,552
  5. Step 5: Solve for x
    x = 1,815,557,231,459,959,552/1,561,555,305.56
  6. Step 6: Final answer
    x = 1,162,659,577.28

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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.