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Finding the Fourth Proportional to 414,906.30, 620,977.05 and 365,139.90

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Solution

The fourth proportional to 414,906.30, 620,977.05 and 365,139.90 is: 546,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,906.30 : 620,977.05 = 365,139.90 : x
  2. Step 2: Convert to fraction form
    414,906.30/620,977.05 = 365,139.90/x
  3. Step 3: Cross multiply
    414,906.30x = 620,977.05 × 365,139.90
  4. Step 4: Simplify right side
    414,906.30x = 226,743,497,939.30
  5. Step 5: Solve for x
    x = 226,743,497,939.30/414,906.30
  6. Step 6: Final answer
    x = 546,493.26

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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.