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Finding the Fourth Proportional to 538,142.80, 806,638.20 and 182,827.60

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Solution

The fourth proportional to 538,142.80, 806,638.20 and 182,827.60 is: 274,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,142.80 : 806,638.20 = 182,827.60 : x
  2. Step 2: Convert to fraction form
    538,142.80/806,638.20 = 182,827.60/x
  3. Step 3: Cross multiply
    538,142.80x = 806,638.20 × 182,827.60
  4. Step 4: Simplify right side
    538,142.80x = 147,475,726,174.32
  5. Step 5: Solve for x
    x = 147,475,726,174.32/538,142.80
  6. Step 6: Final answer
    x = 274,045.71

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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.