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Finding the Fourth Proportional to 308,459.18, 425,548.40 and 200,990

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Solution

The fourth proportional to 308,459.18, 425,548.40 and 200,990 is: 277,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,459.18 : 425,548.40 = 200,990 : x
  2. Step 2: Convert to fraction form
    308,459.18/425,548.40 = 200,990/x
  3. Step 3: Cross multiply
    308,459.18x = 425,548.40 × 200,990
  4. Step 4: Simplify right side
    308,459.18x = 85,530,972,916
  5. Step 5: Solve for x
    x = 85,530,972,916/308,459.18
  6. Step 6: Final answer
    x = 277,284.58

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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.