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Finding the Fourth Proportional to 589,326.52, 813,057.36 and 385,493.80

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Solution

The fourth proportional to 589,326.52, 813,057.36 and 385,493.80 is: 531,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,326.52 : 813,057.36 = 385,493.80 : x
  2. Step 2: Convert to fraction form
    589,326.52/813,057.36 = 385,493.80/x
  3. Step 3: Cross multiply
    589,326.52x = 813,057.36 × 385,493.80
  4. Step 4: Simplify right side
    589,326.52x = 313,428,571,324.37
  5. Step 5: Solve for x
    x = 313,428,571,324.37/589,326.52
  6. Step 6: Final answer
    x = 531,841.96

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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.