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Finding the Fourth Proportional to 618,204.35, 853,414.21 and 414,388.43

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Solution

The fourth proportional to 618,204.35, 853,414.21 and 414,388.43 is: 572,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,204.35 : 853,414.21 = 414,388.43 : x
  2. Step 2: Convert to fraction form
    618,204.35/853,414.21 = 414,388.43/x
  3. Step 3: Cross multiply
    618,204.35x = 853,414.21 × 414,388.43
  4. Step 4: Simplify right side
    618,204.35x = 353,644,974,621.59
  5. Step 5: Solve for x
    x = 353,644,974,621.59/618,204.35
  6. Step 6: Final answer
    x = 572,051.90

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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.