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Finding the Fourth Proportional to 225,431.79, 338,021.01 and 154,434.48

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Solution

The fourth proportional to 225,431.79, 338,021.01 and 154,434.48 is: 231,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,431.79 : 338,021.01 = 154,434.48 : x
  2. Step 2: Convert to fraction form
    225,431.79/338,021.01 = 154,434.48/x
  3. Step 3: Cross multiply
    225,431.79x = 338,021.01 × 154,434.48
  4. Step 4: Simplify right side
    225,431.79x = 52,202,098,908.42
  5. Step 5: Solve for x
    x = 52,202,098,908.42/225,431.79
  6. Step 6: Final answer
    x = 231,564.94

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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.