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Finding the Fourth Proportional to 501,322.41, 691,820.21 and 271,884.76

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Solution

The fourth proportional to 501,322.41, 691,820.21 and 271,884.76 is: 375,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,322.41 : 691,820.21 = 271,884.76 : x
  2. Step 2: Convert to fraction form
    501,322.41/691,820.21 = 271,884.76/x
  3. Step 3: Cross multiply
    501,322.41x = 691,820.21 × 271,884.76
  4. Step 4: Simplify right side
    501,322.41x = 188,095,371,759.00
  5. Step 5: Solve for x
    x = 188,095,371,759.00/501,322.41
  6. Step 6: Final answer
    x = 375,198.41

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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.