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Finding the Fourth Proportional to 278,145.60, 416,926.80 and 109,600.80

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Solution

The fourth proportional to 278,145.60, 416,926.80 and 109,600.80 is: 164,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,145.60 : 416,926.80 = 109,600.80 : x
  2. Step 2: Convert to fraction form
    278,145.60/416,926.80 = 109,600.80/x
  3. Step 3: Cross multiply
    278,145.60x = 416,926.80 × 109,600.80
  4. Step 4: Simplify right side
    278,145.60x = 45,695,510,821.44
  5. Step 5: Solve for x
    x = 45,695,510,821.44/278,145.60
  6. Step 6: Final answer
    x = 164,286.30

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1.5x scale

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.