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Finding the Fourth Proportional to 501,410.70, 691,941.68 and 271,963.06

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Solution

The fourth proportional to 501,410.70, 691,941.68 and 271,963.06 is: 375,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,410.70 : 691,941.68 = 271,963.06 : x
  2. Step 2: Convert to fraction form
    501,410.70/691,941.68 = 271,963.06/x
  3. Step 3: Cross multiply
    501,410.70x = 691,941.68 × 271,963.06
  4. Step 4: Simplify right side
    501,410.70x = 188,182,576,634.34
  5. Step 5: Solve for x
    x = 188,182,576,634.34/501,410.70
  6. Step 6: Final answer
    x = 375,306.26

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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.