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Finding the Fourth Proportional to 397,170.56, 595,421.22 and 172,361.72

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Solution

The fourth proportional to 397,170.56, 595,421.22 and 172,361.72 is: 258,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,170.56 : 595,421.22 = 172,361.72 : x
  2. Step 2: Convert to fraction form
    397,170.56/595,421.22 = 172,361.72/x
  3. Step 3: Cross multiply
    397,170.56x = 595,421.22 × 172,361.72
  4. Step 4: Simplify right side
    397,170.56x = 102,627,825,603.70
  5. Step 5: Solve for x
    x = 102,627,825,603.70/397,170.56
  6. Step 6: Final answer
    x = 258,397.36

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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.