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Finding the Fourth Proportional to 268,240.80, 402,361.20 and 135,069.60

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Solution

The fourth proportional to 268,240.80, 402,361.20 and 135,069.60 is: 202,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,240.80 : 402,361.20 = 135,069.60 : x
  2. Step 2: Convert to fraction form
    268,240.80/402,361.20 = 135,069.60/x
  3. Step 3: Cross multiply
    268,240.80x = 402,361.20 × 135,069.60
  4. Step 4: Simplify right side
    268,240.80x = 54,346,766,339.52
  5. Step 5: Solve for x
    x = 54,346,766,339.52/268,240.80
  6. Step 6: Final answer
    x = 202,604.40

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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.