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Finding the Fourth Proportional to 505,073.12, 696,997.48 and 278,718.64

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Solution

The fourth proportional to 505,073.12, 696,997.48 and 278,718.64 is: 384,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,073.12 : 696,997.48 = 278,718.64 : x
  2. Step 2: Convert to fraction form
    505,073.12/696,997.48 = 278,718.64/x
  3. Step 3: Cross multiply
    505,073.12x = 696,997.48 × 278,718.64
  4. Step 4: Simplify right side
    505,073.12x = 194,266,189,709.03
  5. Step 5: Solve for x
    x = 194,266,189,709.03/505,073.12
  6. Step 6: Final answer
    x = 384,629.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.