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Finding the Fourth Proportional to 275,317.52, 412,888.82 and 187,137.68

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Solution

The fourth proportional to 275,317.52, 412,888.82 and 187,137.68 is: 280,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,317.52 : 412,888.82 = 187,137.68 : x
  2. Step 2: Convert to fraction form
    275,317.52/412,888.82 = 187,137.68/x
  3. Step 3: Cross multiply
    275,317.52x = 412,888.82 × 187,137.68
  4. Step 4: Simplify right side
    275,317.52x = 77,267,055,872.74
  5. Step 5: Solve for x
    x = 77,267,055,872.74/275,317.52
  6. Step 6: Final answer
    x = 280,647.07

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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.