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Finding the Fourth Proportional to 505,818.28, 758,778.49 and 164,247.42

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Solution

The fourth proportional to 505,818.28, 758,778.49 and 164,247.42 is: 246,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,818.28 : 758,778.49 = 164,247.42 : x
  2. Step 2: Convert to fraction form
    505,818.28/758,778.49 = 164,247.42/x
  3. Step 3: Cross multiply
    505,818.28x = 758,778.49 × 164,247.42
  4. Step 4: Simplify right side
    505,818.28x = 124,627,409,334.00
  5. Step 5: Solve for x
    x = 124,627,409,334.00/505,818.28
  6. Step 6: Final answer
    x = 246,387.71

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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.