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Finding the Fourth Proportional to 501,022.88, 691,410.12 and 274,668.56

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Solution

The fourth proportional to 501,022.88, 691,410.12 and 274,668.56 is: 379,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,022.88 : 691,410.12 = 274,668.56 : x
  2. Step 2: Convert to fraction form
    501,022.88/691,410.12 = 274,668.56/x
  3. Step 3: Cross multiply
    501,022.88x = 691,410.12 × 274,668.56
  4. Step 4: Simplify right side
    501,022.88x = 189,908,622,029.83
  5. Step 5: Solve for x
    x = 189,908,622,029.83/501,022.88
  6. Step 6: Final answer
    x = 379,041.82

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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.