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Finding the Fourth Proportional to 225,097.92, 339,333.12 and 209,877.12

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Solution

The fourth proportional to 225,097.92, 339,333.12 and 209,877.12 is: 316,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,097.92 : 339,333.12 = 209,877.12 : x
  2. Step 2: Convert to fraction form
    225,097.92/339,333.12 = 209,877.12/x
  3. Step 3: Cross multiply
    225,097.92x = 339,333.12 × 209,877.12
  4. Step 4: Simplify right side
    225,097.92x = 71,218,257,946.21
  5. Step 5: Solve for x
    x = 71,218,257,946.21/225,097.92
  6. Step 6: Final answer
    x = 316,387.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.