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Finding the Fourth Proportional to 290,723.80, 436,085.70 and 211,408.60

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Solution

The fourth proportional to 290,723.80, 436,085.70 and 211,408.60 is: 317,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,723.80 : 436,085.70 = 211,408.60 : x
  2. Step 2: Convert to fraction form
    290,723.80/436,085.70 = 211,408.60/x
  3. Step 3: Cross multiply
    290,723.80x = 436,085.70 × 211,408.60
  4. Step 4: Simplify right side
    290,723.80x = 92,192,267,317.02
  5. Step 5: Solve for x
    x = 92,192,267,317.02/290,723.80
  6. Step 6: Final answer
    x = 317,112.90

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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.