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Finding the Fourth Proportional to 291,645.60, 437,662.80 and 133,792.80

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Solution

The fourth proportional to 291,645.60, 437,662.80 and 133,792.80 is: 200,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,645.60 : 437,662.80 = 133,792.80 : x
  2. Step 2: Convert to fraction form
    291,645.60/437,662.80 = 133,792.80/x
  3. Step 3: Cross multiply
    291,645.60x = 437,662.80 × 133,792.80
  4. Step 4: Simplify right side
    291,645.60x = 58,556,131,467.84
  5. Step 5: Solve for x
    x = 58,556,131,467.84/291,645.60
  6. Step 6: Final answer
    x = 200,778.38

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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.