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Finding the Fourth Proportional to 427,427.30, 641,107.67 and 174,640.47

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Solution

The fourth proportional to 427,427.30, 641,107.67 and 174,640.47 is: 261,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,427.30 : 641,107.67 = 174,640.47 : x
  2. Step 2: Convert to fraction form
    427,427.30/641,107.67 = 174,640.47/x
  3. Step 3: Cross multiply
    427,427.30x = 641,107.67 × 174,640.47
  4. Step 4: Simplify right side
    427,427.30x = 111,963,343,936.20
  5. Step 5: Solve for x
    x = 111,963,343,936.20/427,427.30
  6. Step 6: Final answer
    x = 261,947.11

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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.