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Finding the Fourth Proportional to 589,716, 813,808.44 and 321,444

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Solution

The fourth proportional to 589,716, 813,808.44 and 321,444 is: 443,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,716 : 813,808.44 = 321,444 : x
  2. Step 2: Convert to fraction form
    589,716/813,808.44 = 321,444/x
  3. Step 3: Cross multiply
    589,716x = 813,808.44 × 321,444
  4. Step 4: Simplify right side
    589,716x = 261,593,840,187.36
  5. Step 5: Solve for x
    x = 261,593,840,187.36/589,716
  6. Step 6: Final answer
    x = 443,592.92

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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.