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Finding the Fourth Proportional to 580,078.28, 800,438.10 and 321,953.96

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Solution

The fourth proportional to 580,078.28, 800,438.10 and 321,953.96 is: 444,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,078.28 : 800,438.10 = 321,953.96 : x
  2. Step 2: Convert to fraction form
    580,078.28/800,438.10 = 321,953.96/x
  3. Step 3: Cross multiply
    580,078.28x = 800,438.10 × 321,953.96
  4. Step 4: Simplify right side
    580,078.28x = 257,704,216,029.88
  5. Step 5: Solve for x
    x = 257,704,216,029.88/580,078.28
  6. Step 6: Final answer
    x = 444,257.65

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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.