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Finding the Fourth Proportional to 321,412.25, 482,122.49 and 221,545.64

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Solution

The fourth proportional to 321,412.25, 482,122.49 and 221,545.64 is: 332,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,412.25 : 482,122.49 = 221,545.64 : x
  2. Step 2: Convert to fraction form
    321,412.25/482,122.49 = 221,545.64/x
  3. Step 3: Cross multiply
    321,412.25x = 482,122.49 × 221,545.64
  4. Step 4: Simplify right side
    321,412.25x = 106,812,132,087.10
  5. Step 5: Solve for x
    x = 106,812,132,087.10/321,412.25
  6. Step 6: Final answer
    x = 332,321.29

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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.