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Finding the Fourth Proportional to 380,589, 525,212.82 and 210,834.12

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Solution

The fourth proportional to 380,589, 525,212.82 and 210,834.12 is: 290,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,589 : 525,212.82 = 210,834.12 : x
  2. Step 2: Convert to fraction form
    380,589/525,212.82 = 210,834.12/x
  3. Step 3: Cross multiply
    380,589x = 525,212.82 × 210,834.12
  4. Step 4: Simplify right side
    380,589x = 110,732,782,717.42
  5. Step 5: Solve for x
    x = 110,732,782,717.42/380,589
  6. Step 6: Final answer
    x = 290,951.09

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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.