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Finding the Fourth Proportional to 298,139.84, 447,209.76 and 204,361.28

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Solution

The fourth proportional to 298,139.84, 447,209.76 and 204,361.28 is: 306,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,139.84 : 447,209.76 = 204,361.28 : x
  2. Step 2: Convert to fraction form
    298,139.84/447,209.76 = 204,361.28/x
  3. Step 3: Cross multiply
    298,139.84x = 447,209.76 × 204,361.28
  4. Step 4: Simplify right side
    298,139.84x = 91,392,358,982.09
  5. Step 5: Solve for x
    x = 91,392,358,982.09/298,139.84
  6. Step 6: Final answer
    x = 306,541.92

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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.