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Finding the Fourth Proportional to 589,486.41, 813,491.10 and 321,214.41

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Solution

The fourth proportional to 589,486.41, 813,491.10 and 321,214.41 is: 443,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,486.41 : 813,491.10 = 321,214.41 : x
  2. Step 2: Convert to fraction form
    589,486.41/813,491.10 = 321,214.41/x
  3. Step 3: Cross multiply
    589,486.41x = 813,491.10 × 321,214.41
  4. Step 4: Simplify right side
    589,486.41x = 261,305,063,726.75
  5. Step 5: Solve for x
    x = 261,305,063,726.75/589,486.41
  6. Step 6: Final answer
    x = 443,275.81

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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.