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Finding the Fourth Proportional to 447,930.64, 618,098.12 and 275,821.20

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Solution

The fourth proportional to 447,930.64, 618,098.12 and 275,821.20 is: 380,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,930.64 : 618,098.12 = 275,821.20 : x
  2. Step 2: Convert to fraction form
    447,930.64/618,098.12 = 275,821.20/x
  3. Step 3: Cross multiply
    447,930.64x = 618,098.12 × 275,821.20
  4. Step 4: Simplify right side
    447,930.64x = 170,484,565,176.14
  5. Step 5: Solve for x
    x = 170,484,565,176.14/447,930.64
  6. Step 6: Final answer
    x = 380,604.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.