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Finding the Fourth Proportional to 505,253.12, 757,659.20 and 268,538.88

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Solution

The fourth proportional to 505,253.12, 757,659.20 and 268,538.88 is: 402,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,253.12 : 757,659.20 = 268,538.88 : x
  2. Step 2: Convert to fraction form
    505,253.12/757,659.20 = 268,538.88/x
  3. Step 3: Cross multiply
    505,253.12x = 757,659.20 × 268,538.88
  4. Step 4: Simplify right side
    505,253.12x = 203,460,952,989.70
  5. Step 5: Solve for x
    x = 203,460,952,989.70/505,253.12
  6. Step 6: Final answer
    x = 402,691.14

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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.