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Finding the Fourth Proportional to 438,989.26, 658,181.31 and 172,780.34

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Solution

The fourth proportional to 438,989.26, 658,181.31 and 172,780.34 is: 259,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,989.26 : 658,181.31 = 172,780.34 : x
  2. Step 2: Convert to fraction form
    438,989.26/658,181.31 = 172,780.34/x
  3. Step 3: Cross multiply
    438,989.26x = 658,181.31 × 172,780.34
  4. Step 4: Simplify right side
    438,989.26x = 113,720,790,523.45
  5. Step 5: Solve for x
    x = 113,720,790,523.45/438,989.26
  6. Step 6: Final answer
    x = 259,051.42

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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.