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Finding the Fourth Proportional to 427,625.91, 641,425.64 and 203,147.91

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Solution

The fourth proportional to 427,625.91, 641,425.64 and 203,147.91 is: 304,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,625.91 : 641,425.64 = 203,147.91 : x
  2. Step 2: Convert to fraction form
    427,625.91/641,425.64 = 203,147.91/x
  3. Step 3: Cross multiply
    427,625.91x = 641,425.64 × 203,147.91
  4. Step 4: Simplify right side
    427,625.91x = 130,304,277,170.67
  5. Step 5: Solve for x
    x = 130,304,277,170.67/427,625.91
  6. Step 6: Final answer
    x = 304,715.58

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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.