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Finding the Fourth Proportional to 403,498.20, 605,198.70 and 166,816.20

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Solution

The fourth proportional to 403,498.20, 605,198.70 and 166,816.20 is: 250,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,498.20 : 605,198.70 = 166,816.20 : x
  2. Step 2: Convert to fraction form
    403,498.20/605,198.70 = 166,816.20/x
  3. Step 3: Cross multiply
    403,498.20x = 605,198.70 × 166,816.20
  4. Step 4: Simplify right side
    403,498.20x = 100,956,947,378.94
  5. Step 5: Solve for x
    x = 100,956,947,378.94/403,498.20
  6. Step 6: Final answer
    x = 250,204.21

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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.