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Finding the Fourth Proportional to 850,357, 1,275,593.82 and 281,737

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Solution

The fourth proportional to 850,357, 1,275,593.82 and 281,737 is: 422,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,357 : 1,275,593.82 = 281,737 : x
  2. Step 2: Convert to fraction form
    850,357/1,275,593.82 = 281,737/x
  3. Step 3: Cross multiply
    850,357x = 1,275,593.82 × 281,737
  4. Step 4: Simplify right side
    850,357x = 359,381,976,065.34
  5. Step 5: Solve for x
    x = 359,381,976,065.34/850,357
  6. Step 6: Final answer
    x = 422,624.82

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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.