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Finding the Fourth Proportional to 268,928.80, 403,684.80 and 169,201.60

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Solution

The fourth proportional to 268,928.80, 403,684.80 and 169,201.60 is: 253,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,928.80 : 403,684.80 = 169,201.60 : x
  2. Step 2: Convert to fraction form
    268,928.80/403,684.80 = 169,201.60/x
  3. Step 3: Cross multiply
    268,928.80x = 403,684.80 × 169,201.60
  4. Step 4: Simplify right side
    268,928.80x = 68,304,114,055.68
  5. Step 5: Solve for x
    x = 68,304,114,055.68/268,928.80
  6. Step 6: Final answer
    x = 253,985.87

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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.