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Finding the Fourth Proportional to 438,987.26, 658,178.31 and 172,778.34

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Solution

The fourth proportional to 438,987.26, 658,178.31 and 172,778.34 is: 259,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,987.26 : 658,178.31 = 172,778.34 : x
  2. Step 2: Convert to fraction form
    438,987.26/658,178.31 = 172,778.34/x
  3. Step 3: Cross multiply
    438,987.26x = 658,178.31 × 172,778.34
  4. Step 4: Simplify right side
    438,987.26x = 113,718,955,825.81
  5. Step 5: Solve for x
    x = 113,718,955,825.81/438,987.26
  6. Step 6: Final answer
    x = 259,048.42

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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.