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Finding the Fourth Proportional to 394,091.52, 543,656.80 and 258,064.96

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Solution

The fourth proportional to 394,091.52, 543,656.80 and 258,064.96 is: 356,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,091.52 : 543,656.80 = 258,064.96 : x
  2. Step 2: Convert to fraction form
    394,091.52/543,656.80 = 258,064.96/x
  3. Step 3: Cross multiply
    394,091.52x = 543,656.80 × 258,064.96
  4. Step 4: Simplify right side
    394,091.52x = 140,298,770,345.73
  5. Step 5: Solve for x
    x = 140,298,770,345.73/394,091.52
  6. Step 6: Final answer
    x = 356,005.56

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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.