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Finding the Fourth Proportional to 1,075,751,932.56, 1,485,223,104 and 877,985,169.40

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Solution

The fourth proportional to 1,075,751,932.56, 1,485,223,104 and 877,985,169.40 is: 1,212,178,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,751,932.56 : 1,485,223,104 = 877,985,169.40 : x
  2. Step 2: Convert to fraction form
    1,075,751,932.56/1,485,223,104 = 877,985,169.40/x
  3. Step 3: Cross multiply
    1,075,751,932.56x = 1,485,223,104 × 877,985,169.40
  4. Step 4: Simplify right side
    1,075,751,932.56x = 1,304,003,858,562,233,856
  5. Step 5: Solve for x
    x = 1,304,003,858,562,233,856/1,075,751,932.56
  6. Step 6: Final answer
    x = 1,212,178,959.75

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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.