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Finding the Fourth Proportional to 298,141.12, 447,310.14 and 120,551.28

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Solution

The fourth proportional to 298,141.12, 447,310.14 and 120,551.28 is: 180,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,141.12 : 447,310.14 = 120,551.28 : x
  2. Step 2: Convert to fraction form
    298,141.12/447,310.14 = 120,551.28/x
  3. Step 3: Cross multiply
    298,141.12x = 447,310.14 × 120,551.28
  4. Step 4: Simplify right side
    298,141.12x = 53,923,809,933.98
  5. Step 5: Solve for x
    x = 53,923,809,933.98/298,141.12
  6. Step 6: Final answer
    x = 180,866.73

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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.