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Finding the Fourth Proportional to 712,198.08, 982,845 and 389,902.68

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Solution

The fourth proportional to 712,198.08, 982,845 and 389,902.68 is: 538,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,198.08 : 982,845 = 389,902.68 : x
  2. Step 2: Convert to fraction form
    712,198.08/982,845 = 389,902.68/x
  3. Step 3: Cross multiply
    712,198.08x = 982,845 × 389,902.68
  4. Step 4: Simplify right side
    712,198.08x = 383,213,899,524.60
  5. Step 5: Solve for x
    x = 383,213,899,524.60/712,198.08
  6. Step 6: Final answer
    x = 538,072.08

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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.