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Finding the Fourth Proportional to 305,897.93, 422,021.37 and 225,516.57

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Solution

The fourth proportional to 305,897.93, 422,021.37 and 225,516.57 is: 311,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,897.93 : 422,021.37 = 225,516.57 : x
  2. Step 2: Convert to fraction form
    305,897.93/422,021.37 = 225,516.57/x
  3. Step 3: Cross multiply
    305,897.93x = 422,021.37 × 225,516.57
  4. Step 4: Simplify right side
    305,897.93x = 95,172,811,829.10
  5. Step 5: Solve for x
    x = 95,172,811,829.10/305,897.93
  6. Step 6: Final answer
    x = 311,126.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.