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Finding the Fourth Proportional to 493,414.47, 680,839.47 and 275,596.31

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Solution

The fourth proportional to 493,414.47, 680,839.47 and 275,596.31 is: 380,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,414.47 : 680,839.47 = 275,596.31 : x
  2. Step 2: Convert to fraction form
    493,414.47/680,839.47 = 275,596.31/x
  3. Step 3: Cross multiply
    493,414.47x = 680,839.47 × 275,596.31
  4. Step 4: Simplify right side
    493,414.47x = 187,636,847,336.45
  5. Step 5: Solve for x
    x = 187,636,847,336.45/493,414.47
  6. Step 6: Final answer
    x = 380,282.42

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1.5x scale

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.