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Finding the Fourth Proportional to 382,802.82, 528,285.22 and 221,664.90

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Solution

The fourth proportional to 382,802.82, 528,285.22 and 221,664.90 is: 305,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,802.82 : 528,285.22 = 221,664.90 : x
  2. Step 2: Convert to fraction form
    382,802.82/528,285.22 = 221,664.90/x
  3. Step 3: Cross multiply
    382,802.82x = 528,285.22 × 221,664.90
  4. Step 4: Simplify right side
    382,802.82x = 117,102,290,462.78
  5. Step 5: Solve for x
    x = 117,102,290,462.78/382,802.82
  6. Step 6: Final answer
    x = 305,907.60

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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.