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Finding the Fourth Proportional to 382,805.82, 528,289.36 and 221,667.90

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Solution

The fourth proportional to 382,805.82, 528,289.36 and 221,667.90 is: 305,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,805.82 : 528,289.36 = 221,667.90 : x
  2. Step 2: Convert to fraction form
    382,805.82/528,289.36 = 221,667.90/x
  3. Step 3: Cross multiply
    382,805.82x = 528,289.36 × 221,667.90
  4. Step 4: Simplify right side
    382,805.82x = 117,104,793,023.54
  5. Step 5: Solve for x
    x = 117,104,793,023.54/382,805.82
  6. Step 6: Final answer
    x = 305,911.74

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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.