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Finding the Fourth Proportional to 580,077.88, 800,654.61 and 396,390.80

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Solution

The fourth proportional to 580,077.88, 800,654.61 and 396,390.80 is: 547,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,077.88 : 800,654.61 = 396,390.80 : x
  2. Step 2: Convert to fraction form
    580,077.88/800,654.61 = 396,390.80/x
  3. Step 3: Cross multiply
    580,077.88x = 800,654.61 × 396,390.80
  4. Step 4: Simplify right side
    580,077.88x = 317,372,124,869.69
  5. Step 5: Solve for x
    x = 317,372,124,869.69/580,077.88
  6. Step 6: Final answer
    x = 547,119.85

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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.