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Finding the Fourth Proportional to 580,391.48, 800,979.92 and 322,281.76

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Solution

The fourth proportional to 580,391.48, 800,979.92 and 322,281.76 is: 444,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,391.48 : 800,979.92 = 322,281.76 : x
  2. Step 2: Convert to fraction form
    580,391.48/800,979.92 = 322,281.76/x
  3. Step 3: Cross multiply
    580,391.48x = 800,979.92 × 322,281.76
  4. Step 4: Simplify right side
    580,391.48x = 258,141,218,342.26
  5. Step 5: Solve for x
    x = 258,141,218,342.26/580,391.48
  6. Step 6: Final answer
    x = 444,770.86

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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.