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Finding the Fourth Proportional to 501,375, 691,897.50 and 275,021.04

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Solution

The fourth proportional to 501,375, 691,897.50 and 275,021.04 is: 379,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,375 : 691,897.50 = 275,021.04 : x
  2. Step 2: Convert to fraction form
    501,375/691,897.50 = 275,021.04/x
  3. Step 3: Cross multiply
    501,375x = 691,897.50 × 275,021.04
  4. Step 4: Simplify right side
    501,375x = 190,286,370,023.40
  5. Step 5: Solve for x
    x = 190,286,370,023.40/501,375
  6. Step 6: Final answer
    x = 379,529.04

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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.