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Finding the Fourth Proportional to 580,658.64, 801,288.27 and 326,020.56

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Solution

The fourth proportional to 580,658.64, 801,288.27 and 326,020.56 is: 449,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,658.64 : 801,288.27 = 326,020.56 : x
  2. Step 2: Convert to fraction form
    580,658.64/801,288.27 = 326,020.56/x
  3. Step 3: Cross multiply
    580,658.64x = 801,288.27 × 326,020.56
  4. Step 4: Simplify right side
    580,658.64x = 261,236,450,506.83
  5. Step 5: Solve for x
    x = 261,236,450,506.83/580,658.64
  6. Step 6: Final answer
    x = 449,896.78

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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.