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Finding the Fourth Proportional to 408,086.82, 613,090.74 and 385,428.30

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Solution

The fourth proportional to 408,086.82, 613,090.74 and 385,428.30 is: 579,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086.82 : 613,090.74 = 385,428.30 : x
  2. Step 2: Convert to fraction form
    408,086.82/613,090.74 = 385,428.30/x
  3. Step 3: Cross multiply
    408,086.82x = 613,090.74 × 385,428.30
  4. Step 4: Simplify right side
    408,086.82x = 236,302,521,663.94
  5. Step 5: Solve for x
    x = 236,302,521,663.94/408,086.82
  6. Step 6: Final answer
    x = 579,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.