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Finding the Fourth Proportional to 384,425.64, 576,640.89 and 252,146.16

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Solution

The fourth proportional to 384,425.64, 576,640.89 and 252,146.16 is: 378,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,425.64 : 576,640.89 = 252,146.16 : x
  2. Step 2: Convert to fraction form
    384,425.64/576,640.89 = 252,146.16/x
  3. Step 3: Cross multiply
    384,425.64x = 576,640.89 × 252,146.16
  4. Step 4: Simplify right side
    384,425.64x = 145,397,786,112.48
  5. Step 5: Solve for x
    x = 145,397,786,112.48/384,425.64
  6. Step 6: Final answer
    x = 378,220.83

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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.