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Finding the Fourth Proportional to 382,800.82, 528,282.45 and 221,662.90

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Solution

The fourth proportional to 382,800.82, 528,282.45 and 221,662.90 is: 305,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,800.82 : 528,282.45 = 221,662.90 : x
  2. Step 2: Convert to fraction form
    382,800.82/528,282.45 = 221,662.90/x
  3. Step 3: Cross multiply
    382,800.82x = 528,282.45 × 221,662.90
  4. Step 4: Simplify right side
    382,800.82x = 117,100,619,886.11
  5. Step 5: Solve for x
    x = 117,100,619,886.11/382,800.82
  6. Step 6: Final answer
    x = 305,904.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.