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Finding the Fourth Proportional to 229,261.60, 343,892.40 and 135,719.20

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Solution

The fourth proportional to 229,261.60, 343,892.40 and 135,719.20 is: 203,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,261.60 : 343,892.40 = 135,719.20 : x
  2. Step 2: Convert to fraction form
    229,261.60/343,892.40 = 135,719.20/x
  3. Step 3: Cross multiply
    229,261.60x = 343,892.40 × 135,719.20
  4. Step 4: Simplify right side
    229,261.60x = 46,672,801,414.08
  5. Step 5: Solve for x
    x = 46,672,801,414.08/229,261.60
  6. Step 6: Final answer
    x = 203,578.80

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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.