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Finding the Fourth Proportional to 229,508.34, 344,843.75 and 145,308.09

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Solution

The fourth proportional to 229,508.34, 344,843.75 and 145,308.09 is: 218,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,508.34 : 344,843.75 = 145,308.09 : x
  2. Step 2: Convert to fraction form
    229,508.34/344,843.75 = 145,308.09/x
  3. Step 3: Cross multiply
    229,508.34x = 344,843.75 × 145,308.09
  4. Step 4: Simplify right side
    229,508.34x = 50,108,586,660.94
  5. Step 5: Solve for x
    x = 50,108,586,660.94/229,508.34
  6. Step 6: Final answer
    x = 218,330.13

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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.