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Finding the Fourth Proportional to 298,529.46, 447,969.15 and 214,198.74

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Solution

The fourth proportional to 298,529.46, 447,969.15 and 214,198.74 is: 321,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,529.46 : 447,969.15 = 214,198.74 : x
  2. Step 2: Convert to fraction form
    298,529.46/447,969.15 = 214,198.74/x
  3. Step 3: Cross multiply
    298,529.46x = 447,969.15 × 214,198.74
  4. Step 4: Simplify right side
    298,529.46x = 95,954,427,488.87
  5. Step 5: Solve for x
    x = 95,954,427,488.87/298,529.46
  6. Step 6: Final answer
    x = 321,423.65

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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.