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Finding the Fourth Proportional to 427,361.38, 641,075.78 and 143,053.60

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Solution

The fourth proportional to 427,361.38, 641,075.78 and 143,053.60 is: 214,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,361.38 : 641,075.78 = 143,053.60 : x
  2. Step 2: Convert to fraction form
    427,361.38/641,075.78 = 143,053.60/x
  3. Step 3: Cross multiply
    427,361.38x = 641,075.78 × 143,053.60
  4. Step 4: Simplify right side
    427,361.38x = 91,708,198,201.81
  5. Step 5: Solve for x
    x = 91,708,198,201.81/427,361.38
  6. Step 6: Final answer
    x = 214,591.68

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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.