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Finding the Fourth Proportional to 268,796.98, 402,912.37 and 135,396.86

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Solution

The fourth proportional to 268,796.98, 402,912.37 and 135,396.86 is: 202,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,796.98 : 402,912.37 = 135,396.86 : x
  2. Step 2: Convert to fraction form
    268,796.98/402,912.37 = 135,396.86/x
  3. Step 3: Cross multiply
    268,796.98x = 402,912.37 × 135,396.86
  4. Step 4: Simplify right side
    268,796.98x = 54,553,069,076.17
  5. Step 5: Solve for x
    x = 54,553,069,076.17/268,796.98
  6. Step 6: Final answer
    x = 202,952.69

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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.