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Finding the Fourth Proportional to 278,226.52, 417,199.44 and 198,218.80

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Solution

The fourth proportional to 278,226.52, 417,199.44 and 198,218.80 is: 297,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,226.52 : 417,199.44 = 198,218.80 : x
  2. Step 2: Convert to fraction form
    278,226.52/417,199.44 = 198,218.80/x
  3. Step 3: Cross multiply
    278,226.52x = 417,199.44 × 198,218.80
  4. Step 4: Simplify right side
    278,226.52x = 82,696,772,357.47
  5. Step 5: Solve for x
    x = 82,696,772,357.47/278,226.52
  6. Step 6: Final answer
    x = 297,228.22

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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.