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Finding the Fourth Proportional to 709,978,709.50, 1,064,917,556.70 and 218,640,745.24

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Solution

The fourth proportional to 709,978,709.50, 1,064,917,556.70 and 218,640,745.24 is: 327,945,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,978,709.50 : 1,064,917,556.70 = 218,640,745.24 : x
  2. Step 2: Convert to fraction form
    709,978,709.50/1,064,917,556.70 = 218,640,745.24/x
  3. Step 3: Cross multiply
    709,978,709.50x = 1,064,917,556.70 × 218,640,745.24
  4. Step 4: Simplify right side
    709,978,709.50x = 232,834,368,216,047,968
  5. Step 5: Solve for x
    x = 232,834,368,216,047,968/709,978,709.50
  6. Step 6: Final answer
    x = 327,945,563.86

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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.