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Finding the Fourth Proportional to 278,217.68, 383,933.64 and 158,978

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Solution

The fourth proportional to 278,217.68, 383,933.64 and 158,978 is: 219,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,217.68 : 383,933.64 = 158,978 : x
  2. Step 2: Convert to fraction form
    278,217.68/383,933.64 = 158,978/x
  3. Step 3: Cross multiply
    278,217.68x = 383,933.64 × 158,978
  4. Step 4: Simplify right side
    278,217.68x = 61,037,002,219.92
  5. Step 5: Solve for x
    x = 61,037,002,219.92/278,217.68
  6. Step 6: Final answer
    x = 219,385.78

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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.