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Finding the Fourth Proportional to 505,021.76, 696,932.40 and 278,667.20

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Solution

The fourth proportional to 505,021.76, 696,932.40 and 278,667.20 is: 384,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,021.76 : 696,932.40 = 278,667.20 : x
  2. Step 2: Convert to fraction form
    505,021.76/696,932.40 = 278,667.20/x
  3. Step 3: Cross multiply
    505,021.76x = 696,932.40 × 278,667.20
  4. Step 4: Simplify right side
    505,021.76x = 194,212,200,497.28
  5. Step 5: Solve for x
    x = 194,212,200,497.28/505,021.76
  6. Step 6: Final answer
    x = 384,562.04

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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.