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Finding the Fourth Proportional to 393,076.86, 589,843.84 and 165,355.78

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Solution

The fourth proportional to 393,076.86, 589,843.84 and 165,355.78 is: 248,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,076.86 : 589,843.84 = 165,355.78 : x
  2. Step 2: Convert to fraction form
    393,076.86/589,843.84 = 165,355.78/x
  3. Step 3: Cross multiply
    393,076.86x = 589,843.84 × 165,355.78
  4. Step 4: Simplify right side
    393,076.86x = 97,534,088,241.40
  5. Step 5: Solve for x
    x = 97,534,088,241.40/393,076.86
  6. Step 6: Final answer
    x = 248,129.81

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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.