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Finding the Fourth Proportional to 321,414.25, 482,125.49 and 221,547.64

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Solution

The fourth proportional to 321,414.25, 482,125.49 and 221,547.64 is: 332,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,414.25 : 482,125.49 = 221,547.64 : x
  2. Step 2: Convert to fraction form
    321,414.25/482,125.49 = 221,547.64/x
  3. Step 3: Cross multiply
    321,414.25x = 482,125.49 × 221,547.64
  4. Step 4: Simplify right side
    321,414.25x = 106,813,764,493.34
  5. Step 5: Solve for x
    x = 106,813,764,493.34/321,414.25
  6. Step 6: Final answer
    x = 332,324.30

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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.