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Finding the Fourth Proportional to 436,114.80, 654,085.80 and 211,474.80

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Solution

The fourth proportional to 436,114.80, 654,085.80 and 211,474.80 is: 317,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,114.80 : 654,085.80 = 211,474.80 : x
  2. Step 2: Convert to fraction form
    436,114.80/654,085.80 = 211,474.80/x
  3. Step 3: Cross multiply
    436,114.80x = 654,085.80 × 211,474.80
  4. Step 4: Simplify right side
    436,114.80x = 138,322,663,737.84
  5. Step 5: Solve for x
    x = 138,322,663,737.84/436,114.80
  6. Step 6: Final answer
    x = 317,170.30

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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.