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Finding the Fourth Proportional to 221,465.40, 332,198.10 and 162,416.40

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Solution

The fourth proportional to 221,465.40, 332,198.10 and 162,416.40 is: 243,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,465.40 : 332,198.10 = 162,416.40 : x
  2. Step 2: Convert to fraction form
    221,465.40/332,198.10 = 162,416.40/x
  3. Step 3: Cross multiply
    221,465.40x = 332,198.10 × 162,416.40
  4. Step 4: Simplify right side
    221,465.40x = 53,954,419,488.84
  5. Step 5: Solve for x
    x = 53,954,419,488.84/221,465.40
  6. Step 6: Final answer
    x = 243,624.60

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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.