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Finding the Fourth Proportional to 580,077.28, 800,436.72 and 321,952.96

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Solution

The fourth proportional to 580,077.28, 800,436.72 and 321,952.96 is: 444,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,077.28 : 800,436.72 = 321,952.96 : x
  2. Step 2: Convert to fraction form
    580,077.28/800,436.72 = 321,952.96/x
  3. Step 3: Cross multiply
    580,077.28x = 800,436.72 × 321,952.96
  4. Step 4: Simplify right side
    580,077.28x = 257,702,971,296.69
  5. Step 5: Solve for x
    x = 257,702,971,296.69/580,077.28
  6. Step 6: Final answer
    x = 444,256.27

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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.