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Finding the Fourth Proportional to 589,329, 813,274.02 and 321,057

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Solution

The fourth proportional to 589,329, 813,274.02 and 321,057 is: 443,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,329 : 813,274.02 = 321,057 : x
  2. Step 2: Convert to fraction form
    589,329/813,274.02 = 321,057/x
  3. Step 3: Cross multiply
    589,329x = 813,274.02 × 321,057
  4. Step 4: Simplify right side
    589,329x = 261,107,317,039.14
  5. Step 5: Solve for x
    x = 261,107,317,039.14/589,329
  6. Step 6: Final answer
    x = 443,058.66

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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.