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Finding the Fourth Proportional to 438,415.30, 658,314.15 and 251,791.30

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Solution

The fourth proportional to 438,415.30, 658,314.15 and 251,791.30 is: 378,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415.30 : 658,314.15 = 251,791.30 : x
  2. Step 2: Convert to fraction form
    438,415.30/658,314.15 = 251,791.30/x
  3. Step 3: Cross multiply
    438,415.30x = 658,314.15 × 251,791.30
  4. Step 4: Simplify right side
    438,415.30x = 165,757,775,636.90
  5. Step 5: Solve for x
    x = 165,757,775,636.90/438,415.30
  6. Step 6: Final answer
    x = 378,083.92

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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.