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Finding the Fourth Proportional to 231,825.88, 320,029.29 and 155,394.91

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Solution

The fourth proportional to 231,825.88, 320,029.29 and 155,394.91 is: 214,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,825.88 : 320,029.29 = 155,394.91 : x
  2. Step 2: Convert to fraction form
    231,825.88/320,029.29 = 155,394.91/x
  3. Step 3: Cross multiply
    231,825.88x = 320,029.29 × 155,394.91
  4. Step 4: Simplify right side
    231,825.88x = 49,730,924,052.18
  5. Step 5: Solve for x
    x = 49,730,924,052.18/231,825.88
  6. Step 6: Final answer
    x = 214,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.