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Finding the Fourth Proportional to 221,452.60, 332,178.90 and 209,205.40

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Solution

The fourth proportional to 221,452.60, 332,178.90 and 209,205.40 is: 313,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,452.60 : 332,178.90 = 209,205.40 : x
  2. Step 2: Convert to fraction form
    221,452.60/332,178.90 = 209,205.40/x
  3. Step 3: Cross multiply
    221,452.60x = 332,178.90 × 209,205.40
  4. Step 4: Simplify right side
    221,452.60x = 69,493,619,646.06
  5. Step 5: Solve for x
    x = 69,493,619,646.06/221,452.60
  6. Step 6: Final answer
    x = 313,808.10

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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.