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Finding the Fourth Proportional to 538,861.75, 808,429.92 and 159,796.33

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Solution

The fourth proportional to 538,861.75, 808,429.92 and 159,796.33 is: 239,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,861.75 : 808,429.92 = 159,796.33 : x
  2. Step 2: Convert to fraction form
    538,861.75/808,429.92 = 159,796.33/x
  3. Step 3: Cross multiply
    538,861.75x = 808,429.92 × 159,796.33
  4. Step 4: Simplify right side
    538,861.75x = 129,184,134,278.19
  5. Step 5: Solve for x
    x = 129,184,134,278.19/538,861.75
  6. Step 6: Final answer
    x = 239,735.21

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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.