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Finding the Fourth Proportional to 837,424.19, 1,256,136.89 and 206,338

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Solution

The fourth proportional to 837,424.19, 1,256,136.89 and 206,338 is: 309,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,424.19 : 1,256,136.89 = 206,338 : x
  2. Step 2: Convert to fraction form
    837,424.19/1,256,136.89 = 206,338/x
  3. Step 3: Cross multiply
    837,424.19x = 1,256,136.89 × 206,338
  4. Step 4: Simplify right side
    837,424.19x = 259,188,773,608.82
  5. Step 5: Solve for x
    x = 259,188,773,608.82/837,424.19
  6. Step 6: Final answer
    x = 309,507.15

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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.