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Finding the Fourth Proportional to 258,383.89, 387,740.04 and 133,724.89

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Solution

The fourth proportional to 258,383.89, 387,740.04 and 133,724.89 is: 200,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,383.89 : 387,740.04 = 133,724.89 : x
  2. Step 2: Convert to fraction form
    258,383.89/387,740.04 = 133,724.89/x
  3. Step 3: Cross multiply
    258,383.89x = 387,740.04 × 133,724.89
  4. Step 4: Simplify right side
    258,383.89x = 51,850,494,197.60
  5. Step 5: Solve for x
    x = 51,850,494,197.60/258,383.89
  6. Step 6: Final answer
    x = 200,672.32

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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.