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Finding the Fourth Proportional to 709,978,713.75, 1,064,917,563.08 and 218,640,749.49

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Solution

The fourth proportional to 709,978,713.75, 1,064,917,563.08 and 218,640,749.49 is: 327,945,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,978,713.75 : 1,064,917,563.08 = 218,640,749.49 : x
  2. Step 2: Convert to fraction form
    709,978,713.75/1,064,917,563.08 = 218,640,749.49/x
  3. Step 3: Cross multiply
    709,978,713.75x = 1,064,917,563.08 × 218,640,749.49
  4. Step 4: Simplify right side
    709,978,713.75x = 232,834,374,135,782,368
  5. Step 5: Solve for x
    x = 232,834,374,135,782,368/709,978,713.75
  6. Step 6: Final answer
    x = 327,945,570.24

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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.