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Finding the Fourth Proportional to 465,094.90, 641,791.71 and 281,401.88

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Solution

The fourth proportional to 465,094.90, 641,791.71 and 281,401.88 is: 388,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,094.90 : 641,791.71 = 281,401.88 : x
  2. Step 2: Convert to fraction form
    465,094.90/641,791.71 = 281,401.88/x
  3. Step 3: Cross multiply
    465,094.90x = 641,791.71 × 281,401.88
  4. Step 4: Simplify right side
    465,094.90x = 180,601,395,366.89
  5. Step 5: Solve for x
    x = 180,601,395,366.89/465,094.90
  6. Step 6: Final answer
    x = 388,310.85

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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.