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Finding the Fourth Proportional to 305,549.88, 458,317.78 and 179,986.66

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Solution

The fourth proportional to 305,549.88, 458,317.78 and 179,986.66 is: 269,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,549.88 : 458,317.78 = 179,986.66 : x
  2. Step 2: Convert to fraction form
    305,549.88/458,317.78 = 179,986.66/x
  3. Step 3: Cross multiply
    305,549.88x = 458,317.78 × 179,986.66
  4. Step 4: Simplify right side
    305,549.88x = 82,491,086,440.81
  5. Step 5: Solve for x
    x = 82,491,086,440.81/305,549.88
  6. Step 6: Final answer
    x = 269,975.84

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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.