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Finding the Fourth Proportional to 496,027.86, 684,487.78 and 278,224.56

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Solution

The fourth proportional to 496,027.86, 684,487.78 and 278,224.56 is: 383,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,027.86 : 684,487.78 = 278,224.56 : x
  2. Step 2: Convert to fraction form
    496,027.86/684,487.78 = 278,224.56/x
  3. Step 3: Cross multiply
    496,027.86x = 684,487.78 × 278,224.56
  4. Step 4: Simplify right side
    496,027.86x = 190,441,311,415.88
  5. Step 5: Solve for x
    x = 190,441,311,415.88/496,027.86
  6. Step 6: Final answer
    x = 383,932.69

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1.5x scale

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.