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Finding the Fourth Proportional to 291,961.20, 438,114.60 and 192,409.20

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Solution

The fourth proportional to 291,961.20, 438,114.60 and 192,409.20 is: 288,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,961.20 : 438,114.60 = 192,409.20 : x
  2. Step 2: Convert to fraction form
    291,961.20/438,114.60 = 192,409.20/x
  3. Step 3: Cross multiply
    291,961.20x = 438,114.60 × 192,409.20
  4. Step 4: Simplify right side
    291,961.20x = 84,297,279,694.32
  5. Step 5: Solve for x
    x = 84,297,279,694.32/291,961.20
  6. Step 6: Final answer
    x = 288,727.68

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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.