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Finding the Fourth Proportional to 395,258.94, 545,436.66 and 231,892.74

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Solution

The fourth proportional to 395,258.94, 545,436.66 and 231,892.74 is: 319,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,258.94 : 545,436.66 = 231,892.74 : x
  2. Step 2: Convert to fraction form
    395,258.94/545,436.66 = 231,892.74/x
  3. Step 3: Cross multiply
    395,258.94x = 545,436.66 × 231,892.74
  4. Step 4: Simplify right side
    395,258.94x = 126,482,801,583.85
  5. Step 5: Solve for x
    x = 126,482,801,583.85/395,258.94
  6. Step 6: Final answer
    x = 319,999.85

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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.