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Finding the Fourth Proportional to 298,474.49, 447,760.34 and 88,133.69

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Solution

The fourth proportional to 298,474.49, 447,760.34 and 88,133.69 is: 132,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,474.49 : 447,760.34 = 88,133.69 : x
  2. Step 2: Convert to fraction form
    298,474.49/447,760.34 = 88,133.69/x
  3. Step 3: Cross multiply
    298,474.49x = 447,760.34 × 88,133.69
  4. Step 4: Simplify right side
    298,474.49x = 39,462,770,559.19
  5. Step 5: Solve for x
    x = 39,462,770,559.19/298,474.49
  6. Step 6: Final answer
    x = 132,214.89

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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.