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Finding the Fourth Proportional to 462,512.10, 638,369.70 and 281,185.68

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Solution

The fourth proportional to 462,512.10, 638,369.70 and 281,185.68 is: 388,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,512.10 : 638,369.70 = 281,185.68 : x
  2. Step 2: Convert to fraction form
    462,512.10/638,369.70 = 281,185.68/x
  3. Step 3: Cross multiply
    462,512.10x = 638,369.70 × 281,185.68
  4. Step 4: Simplify right side
    462,512.10x = 179,500,418,185.90
  5. Step 5: Solve for x
    x = 179,500,418,185.90/462,512.10
  6. Step 6: Final answer
    x = 388,098.86

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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.