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Finding the Fourth Proportional to 412,537.64, 618,982.90 and 172,707.57

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Solution

The fourth proportional to 412,537.64, 618,982.90 and 172,707.57 is: 259,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,537.64 : 618,982.90 = 172,707.57 : x
  2. Step 2: Convert to fraction form
    412,537.64/618,982.90 = 172,707.57/x
  3. Step 3: Cross multiply
    412,537.64x = 618,982.90 × 172,707.57
  4. Step 4: Simplify right side
    412,537.64x = 106,903,032,098.78
  5. Step 5: Solve for x
    x = 106,903,032,098.78/412,537.64
  6. Step 6: Final answer
    x = 259,135.22

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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.