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Finding the Fourth Proportional to 589,411.72, 813,388.26 and 321,139.72

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Solution

The fourth proportional to 589,411.72, 813,388.26 and 321,139.72 is: 443,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,411.72 : 813,388.26 = 321,139.72 : x
  2. Step 2: Convert to fraction form
    589,411.72/813,388.26 = 321,139.72/x
  3. Step 3: Cross multiply
    589,411.72x = 813,388.26 × 321,139.72
  4. Step 4: Simplify right side
    589,411.72x = 261,211,278,067.69
  5. Step 5: Solve for x
    x = 261,211,278,067.69/589,411.72
  6. Step 6: Final answer
    x = 443,172.86

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1.5x scale

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.