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Finding the Fourth Proportional to 397,161.47, 595,407.35 and 172,352.54

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Solution

The fourth proportional to 397,161.47, 595,407.35 and 172,352.54 is: 258,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,161.47 : 595,407.35 = 172,352.54 : x
  2. Step 2: Convert to fraction form
    397,161.47/595,407.35 = 172,352.54/x
  3. Step 3: Cross multiply
    397,161.47x = 595,407.35 × 172,352.54
  4. Step 4: Simplify right side
    397,161.47x = 102,619,969,107.17
  5. Step 5: Solve for x
    x = 102,619,969,107.17/397,161.47
  6. Step 6: Final answer
    x = 258,383.50

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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.