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Finding the Fourth Proportional to 356,850.70, 492,408.42 and 203,898.80

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Solution

The fourth proportional to 356,850.70, 492,408.42 and 203,898.80 is: 281,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,850.70 : 492,408.42 = 203,898.80 : x
  2. Step 2: Convert to fraction form
    356,850.70/492,408.42 = 203,898.80/x
  3. Step 3: Cross multiply
    356,850.70x = 492,408.42 × 203,898.80
  4. Step 4: Simplify right side
    356,850.70x = 100,401,482,976.11
  5. Step 5: Solve for x
    x = 100,401,482,976.11/356,850.70
  6. Step 6: Final answer
    x = 281,354.31

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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.