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Finding the Fourth Proportional to 256,505.08, 353,976.24 and 143,327.92

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Solution

The fourth proportional to 256,505.08, 353,976.24 and 143,327.92 is: 197,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.08 : 353,976.24 = 143,327.92 : x
  2. Step 2: Convert to fraction form
    256,505.08/353,976.24 = 143,327.92/x
  3. Step 3: Cross multiply
    256,505.08x = 353,976.24 × 143,327.92
  4. Step 4: Simplify right side
    256,505.08x = 50,734,678,208.62
  5. Step 5: Solve for x
    x = 50,734,678,208.62/256,505.08
  6. Step 6: Final answer
    x = 197,792.10

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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.