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Finding the Fourth Proportional to 275,310.53, 412,878.31 and 187,130.69

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Solution

The fourth proportional to 275,310.53, 412,878.31 and 187,130.69 is: 280,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,310.53 : 412,878.31 = 187,130.69 : x
  2. Step 2: Convert to fraction form
    275,310.53/412,878.31 = 187,130.69/x
  3. Step 3: Cross multiply
    275,310.53x = 412,878.31 × 187,130.69
  4. Step 4: Simplify right side
    275,310.53x = 77,262,203,105.02
  5. Step 5: Solve for x
    x = 77,262,203,105.02/275,310.53
  6. Step 6: Final answer
    x = 280,636.57

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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.