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Finding the Fourth Proportional to 298,358.40, 447,538.72 and 120,868.80

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Solution

The fourth proportional to 298,358.40, 447,538.72 and 120,868.80 is: 181,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,358.40 : 447,538.72 = 120,868.80 : x
  2. Step 2: Convert to fraction form
    298,358.40/447,538.72 = 120,868.80/x
  3. Step 3: Cross multiply
    298,358.40x = 447,538.72 × 120,868.80
  4. Step 4: Simplify right side
    298,358.40x = 54,093,468,039.94
  5. Step 5: Solve for x
    x = 54,093,468,039.94/298,358.40
  6. Step 6: Final answer
    x = 181,303.65

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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.