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Finding the Fourth Proportional to 362,893.80, 543,174.30 and 257,917.80

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Solution

The fourth proportional to 362,893.80, 543,174.30 and 257,917.80 is: 386,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,893.80 : 543,174.30 = 257,917.80 : x
  2. Step 2: Convert to fraction form
    362,893.80/543,174.30 = 257,917.80/x
  3. Step 3: Cross multiply
    362,893.80x = 543,174.30 × 257,917.80
  4. Step 4: Simplify right side
    362,893.80x = 140,094,320,472.54
  5. Step 5: Solve for x
    x = 140,094,320,472.54/362,893.80
  6. Step 6: Final answer
    x = 386,047.71

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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.