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Finding the Fourth Proportional to 505,419.12, 758,245.32 and 268,989.84

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Solution

The fourth proportional to 505,419.12, 758,245.32 and 268,989.84 is: 403,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,419.12 : 758,245.32 = 268,989.84 : x
  2. Step 2: Convert to fraction form
    505,419.12/758,245.32 = 268,989.84/x
  3. Step 3: Cross multiply
    505,419.12x = 758,245.32 × 268,989.84
  4. Step 4: Simplify right side
    505,419.12x = 203,960,287,307.55
  5. Step 5: Solve for x
    x = 203,960,287,307.55/505,419.12
  6. Step 6: Final answer
    x = 403,546.84

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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.