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Finding the Fourth Proportional to 505,449.64, 758,122.56 and 168,454

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Solution

The fourth proportional to 505,449.64, 758,122.56 and 168,454 is: 252,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,449.64 : 758,122.56 = 168,454 : x
  2. Step 2: Convert to fraction form
    505,449.64/758,122.56 = 168,454/x
  3. Step 3: Cross multiply
    505,449.64x = 758,122.56 × 168,454
  4. Step 4: Simplify right side
    505,449.64x = 127,708,777,722.24
  5. Step 5: Solve for x
    x = 127,708,777,722.24/505,449.64
  6. Step 6: Final answer
    x = 252,663.70

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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.