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Finding the Fourth Proportional to 465,354.30, 642,249.39 and 284,028.54

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Solution

The fourth proportional to 465,354.30, 642,249.39 and 284,028.54 is: 391,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,354.30 : 642,249.39 = 284,028.54 : x
  2. Step 2: Convert to fraction form
    465,354.30/642,249.39 = 284,028.54/x
  3. Step 3: Cross multiply
    465,354.30x = 642,249.39 × 284,028.54
  4. Step 4: Simplify right side
    465,354.30x = 182,417,156,557.59
  5. Step 5: Solve for x
    x = 182,417,156,557.59/465,354.30
  6. Step 6: Final answer
    x = 391,996.28

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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.