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Finding the Fourth Proportional to 389,344, 536,807.91 and 324,906.07

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Solution

The fourth proportional to 389,344, 536,807.91 and 324,906.07 is: 447,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,344 : 536,807.91 = 324,906.07 : x
  2. Step 2: Convert to fraction form
    389,344/536,807.91 = 324,906.07/x
  3. Step 3: Cross multiply
    389,344x = 536,807.91 × 324,906.07
  4. Step 4: Simplify right side
    389,344x = 174,412,148,383.01
  5. Step 5: Solve for x
    x = 174,412,148,383.01/389,344
  6. Step 6: Final answer
    x = 447,964.14

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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.