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Finding the Fourth Proportional to 494,358.31, 682,265.32 and 300,779.76

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Solution

The fourth proportional to 494,358.31, 682,265.32 and 300,779.76 is: 415,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,358.31 : 682,265.32 = 300,779.76 : x
  2. Step 2: Convert to fraction form
    494,358.31/682,265.32 = 300,779.76/x
  3. Step 3: Cross multiply
    494,358.31x = 682,265.32 × 300,779.76
  4. Step 4: Simplify right side
    494,358.31x = 205,211,600,102.04
  5. Step 5: Solve for x
    x = 205,211,600,102.04/494,358.31
  6. Step 6: Final answer
    x = 415,107.01

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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.