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Finding the Fourth Proportional to 379,660, 523,941.75 and 209,905.06

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Solution

The fourth proportional to 379,660, 523,941.75 and 209,905.06 is: 289,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,660 : 523,941.75 = 209,905.06 : x
  2. Step 2: Convert to fraction form
    379,660/523,941.75 = 209,905.06/x
  3. Step 3: Cross multiply
    379,660x = 523,941.75 × 209,905.06
  4. Step 4: Simplify right side
    379,660x = 109,978,024,470.26
  5. Step 5: Solve for x
    x = 109,978,024,470.26/379,660
  6. Step 6: Final answer
    x = 289,675.04

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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.