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Finding the Fourth Proportional to 224,809.60, 336,998.40 and 129,942.40

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Solution

The fourth proportional to 224,809.60, 336,998.40 and 129,942.40 is: 194,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,809.60 : 336,998.40 = 129,942.40 : x
  2. Step 2: Convert to fraction form
    224,809.60/336,998.40 = 129,942.40/x
  3. Step 3: Cross multiply
    224,809.60x = 336,998.40 × 129,942.40
  4. Step 4: Simplify right side
    224,809.60x = 43,790,380,892.16
  5. Step 5: Solve for x
    x = 43,790,380,892.16/224,809.60
  6. Step 6: Final answer
    x = 194,788.75

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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.