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Finding the Fourth Proportional to 268,806.36, 403,459.08 and 135,780.12

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Solution

The fourth proportional to 268,806.36, 403,459.08 and 135,780.12 is: 203,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,806.36 : 403,459.08 = 135,780.12 : x
  2. Step 2: Convert to fraction form
    268,806.36/403,459.08 = 135,780.12/x
  3. Step 3: Cross multiply
    268,806.36x = 403,459.08 × 135,780.12
  4. Step 4: Simplify right side
    268,806.36x = 54,781,722,297.49
  5. Step 5: Solve for x
    x = 54,781,722,297.49/268,806.36
  6. Step 6: Final answer
    x = 203,796.23

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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.