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Finding the Fourth Proportional to 305,990.80, 458,986.56 and 95,629.84

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Solution

The fourth proportional to 305,990.80, 458,986.56 and 95,629.84 is: 143,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,990.80 : 458,986.56 = 95,629.84 : x
  2. Step 2: Convert to fraction form
    305,990.80/458,986.56 = 95,629.84/x
  3. Step 3: Cross multiply
    305,990.80x = 458,986.56 × 95,629.84
  4. Step 4: Simplify right side
    305,990.80x = 43,892,811,294.95
  5. Step 5: Solve for x
    x = 43,892,811,294.95/305,990.80
  6. Step 6: Final answer
    x = 143,444.87

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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.