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Finding the Fourth Proportional to 427,462.17, 641,369.87 and 187,451.88

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Solution

The fourth proportional to 427,462.17, 641,369.87 and 187,451.88 is: 281,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,462.17 : 641,369.87 = 187,451.88 : x
  2. Step 2: Convert to fraction form
    427,462.17/641,369.87 = 187,451.88/x
  3. Step 3: Cross multiply
    427,462.17x = 641,369.87 × 187,451.88
  4. Step 4: Simplify right side
    427,462.17x = 120,225,986,321.82
  5. Step 5: Solve for x
    x = 120,225,986,321.82/427,462.17
  6. Step 6: Final answer
    x = 281,255.27

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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.