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Finding the Fourth Proportional to 258,382.89, 387,738.54 and 133,723.89

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Solution

The fourth proportional to 258,382.89, 387,738.54 and 133,723.89 is: 200,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,382.89 : 387,738.54 = 133,723.89 : x
  2. Step 2: Convert to fraction form
    258,382.89/387,738.54 = 133,723.89/x
  3. Step 3: Cross multiply
    258,382.89x = 387,738.54 × 133,723.89
  4. Step 4: Simplify right side
    258,382.89x = 51,849,905,871.72
  5. Step 5: Solve for x
    x = 51,849,905,871.72/258,382.89
  6. Step 6: Final answer
    x = 200,670.82

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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.